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Literature cited

  1. G. Avondo Bodino, Economic Applications of the Theory of Graphs, Gordon and Breach, New York (1962).

    Google Scholar 

  2. S. Ya. Agakishieva, “Graphs whose vertices are surrounded by simple chains or simple cycles,” Dokl. Akad. Nauk Azerb. SSR,26, No. 12, 7–10 (1970).

    Google Scholar 

  3. Z. V. Alferova and V. P. Ezzheva, Applications of Graph Theory in Economic Analyses [in Russian], Statistika, Moscow (1971), 150 pages.

    Google Scholar 

  4. E. F. Beckenbach (ed.), Applied Combinatorial Mathematics, Wiley, New York (1964).

    Google Scholar 

  5. F. Ya. Vetukhnovskii, “Coverings of a graph by a system of neighborhoods of its vertices,” in: Problems in Cybernetics [in Russian], No. 19, Nauka, Moscow (1967), pp. 47–74.

    Google Scholar 

  6. V. G. Vizing, “Estimating the chromatic class of a p-graph,” in: Discrete Analysis [in Russian], No. 3, Novosibirsk (1964), pp. 25–30.

    Google Scholar 

  7. V. G. Vizing, “Critical graphs with a given chromatic class,” in: Discrete Analysis [in Russian], No. 5, Novosibirsk (1965), pp. 9–17.

    Google Scholar 

  8. V. G. Vizing, “Estimating the outer stability number of a graph,” Dokl. Akad. Nauk SSSR,164, No. 4, 729–731 (1965).

    Google Scholar 

  9. V. G. Vizing, “Chromatic class of a multigraph,” Kibernetika, No. 3, 29–39 (1965).

    Google Scholar 

  10. V. G. Vizing, “Number of edges in a graph with a given radius,” Dokl. Akad. Nauk SSSR,173, No. 6, 1245–1246 (1967).

    Google Scholar 

  11. V. G. Vizing, “Reducibility of a series of graph-theoretic problems to a minimal-connectivity problem,” in: Computational Mathematics and Computational Technique [in Russian], No. 2, Kharkov (1971), pp. 52–55.

    Google Scholar 

  12. V. G. Vizing and M. K. Gol'dberg, “On the detour number of a strongly connected graph,” Kibernetika, No. 1, 79–82 (1969).

    Google Scholar 

  13. L. F. German, “On V. G. Vizing's hypothesis concerning the outer stability number of the Cartesian product of two graphs,” in: Proc. Sci. Conf. Prof.-Educational Staff of Kishinev Univ. on Progr. Sci. Res. 1970, Sec. Nat. and Experim. Sci. [in Russian], Kishinev (1970), pp. 27–28.

  14. V. V. Glagolev and A. A. Evdokimov, “Minimum coloring of a particular infinite graph,” in: Discrete Analysis [in Russian], No. 17, Novosibirsk (1970), pp. 9–17.

    Google Scholar 

  15. M. K. Gol'dberg, “Applications of the condensation operation to strongly connected graphs,” Usp. Matem. Nauk,20, No. 5, 203–205 (1965).

    Google Scholar 

  16. M. K. Gol'dberg, “On the diameter of a strongly connected graph,” Dokl. Akad. Nauk SSSR,170, No. 4, 767–769 (1966).

    Google Scholar 

  17. I. Grossman and W. Magnus, Groups and Their Graphs, Random House, New York (1964).

    Google Scholar 

  18. G. A. Donets, “On the number of colorings of certain T-graphs (Part I),” in: Optimal Decision Theory, Seminar Proceedings [in Russian], No. 4, Kiev (1969), pp. 63–81.

    Google Scholar 

  19. G. A. Donets, “On the number of colorings of certain T-graphs (Part II),” in: Optimal Decision Theory, Seminar Proceedings [in Russian], No. 5, Kiev (1969), pp. 77–79.

    Google Scholar 

  20. G. A. Donets, “Lower bound for the number of vertices of planar critical graphs,” Kibernetika, No. 4, 76–85 (1971).

    Google Scholar 

  21. A. A. Evdokimov, “Maximum chain length in the unit n-dimensional cube,” Matem. Zametki,6, No. 3, 309–319 (1969).

    Google Scholar 

  22. K. A. Zaretskii, “On Husimi trees,” Matem. Zametki,9, No. 3, 253–262 (1971).

    Google Scholar 

  23. A. A. Zykov, “Graph theory,” in: Algebra and Topology 1962 (Progress in Science) [in Russian], VINITI AN SSSR, Moscow (1963), pp. 188–223.

    Google Scholar 

  24. A. A. Zykov, Theory of Finite Graphs [in Russian], Vol. 1, Nauka, Novosibirsk (1969), 543 pages.

    Google Scholar 

  25. A. S. Zykov, “A vector space associated with Hadwiger's conjecture,” Dokl. Akad. Nauk SSSR,187, No. 6, 1235–1238 (1969).

    Google Scholar 

  26. W. Imrick and É. Stotskii, “Optimum embeddings of metrics in graphs,” Dokl. Akad. Nauk SSSR,200, No. 2, 279–281 (1971).

    Google Scholar 

  27. Sh. M. Ismailov, Upper Bound on the Number of Arcs of a Non-2-Connected Digraph with a Specified Number of 2-Components and Radius (Deposited Abstract No. 3245-71), Inst. Kibernet. Akad. Nauk Azerb. SSR, Baku (1971), 7 pages.

    Google Scholar 

  28. Sh. M. Ismailov, “Number of arcs of a digraph of given radius with specified numbers of vertices and 2-components,” Dokl. Akad. Nauk Azerb. SSR,27, No. 2, 8–12 (1971).

    Google Scholar 

  29. A. A. Kalnin'sh, “Statistical estimate of the chromatic number for a class of graphs,” Latv. Matem. Ezhegodnik,7, 111–125 (1970).

    Google Scholar 

  30. A. A. Kalnin'sh, “Complexity estimation for the coloring of graphs on a Turing machine,” Probl. Peredachi Inform.,7, No. 4, 59–72 (1971).

    Google Scholar 

  31. A. V. Karzanov, “An economical algorithm for finding the 2-components of a graph,” in: Proc. Third Winter School on Mathematical Programming and Related Problems, 1970 [in Russian], No. 2, Moscow (1970), pp. 343–347.

    Google Scholar 

  32. V. P. Kozyrev, “On the representation of graphs by networks,” in: Problems in Cybernetics (Information Materials) [in Russian], Sov. Radio, Moscow (1972).

    Google Scholar 

  33. A. D. Korshunov, “On the diameter of graphs,” Dokl. Akad. Nauk SSSR,196, No. 5, 1013–1015 (1971).

    Google Scholar 

  34. M. I. Kratko, “On the degree of an information graph,” in: Computer Systems [in Russian], No. 34, Nauka, Novosibirsk (1969), pp. 64–70.

    Google Scholar 

  35. S. E. Markosyan, “Uniqueness criterion for a basis of arcs of finite directed graphs,” Izv. Akad. Nauk Arm. SSR, Matematika,2, No. 6, 399–403 (1967).

    Google Scholar 

  36. S. E. Markosyan, “Matrix criterion of uniqueness of a basis of arcs and the determination of a particular basis,” Dokl. Akad. Nauk Arm. SSR,46, No. 2, 60–66 (1968).

    Google Scholar 

  37. A. N. Melikhov, Directed Graphs and Finite Automata [in Russian], Nauka, Moscow (1971), 416 pages.

    Google Scholar 

  38. L. S. Mel'nikov, “Critical directed graphs with a given diameter,” in: Controllable Systems [in Russian], No. 7, Novosibirsk (1970), pp. 37–45.

    Google Scholar 

  39. R. G. Nigmatullin, “Matching of graphs,” Uch. Zap. Kazansk. Univ.,128, No. 2, 91–94 (1968).

    Google Scholar 

  40. R. G. Nigmatullin, “On the covering of a graph by edges,” in: Problems in Cybernetics [in Russian], No. 21, Nauka, Moscow (1969), pp. 241–248.

    Google Scholar 

  41. O. Ore, Graphs and Their Uses, Random House, New York (1963).

    Google Scholar 

  42. O. Ore, Theory of Graphs (AMS Colloquium Publ., Vol. 38), Amer. Math. Soc., Providence, R. I. (1962).

    Google Scholar 

  43. V. D. Podderyugin, “Algorithm for the determination of the edge-connectivity of a graph,” in: Aspects of Cybernetics (Information Materials) [in Russian], Sov. Radio, Moscow (1972).

    Google Scholar 

  44. L. P. Robichaud, M. Boisvert, and J. M. Robert, Signal Flow Graphs and Applications, Prentice-Hall (1962).

  45. T. L. Saaty, “The number of intersections in complete graphs,” Tekh. Kibernet., No. 6, 151–154 (1971).

    Google Scholar 

  46. S. Seshu and M. B. Reed, Linear Graphs and Electrical Networks, Addison-Wesley, Reading, Mass. (1961).

    Google Scholar 

  47. Kh. Urakov, “Bases of arcs of a directed graph,” in: Problems of Cybernetics and Computational Mathematics [in Russian], Fan, Tashkent (1968), pp. 103–109.

    Google Scholar 

  48. Kh. Urakov, “Bases of edges of a partially directed graph,” in: Problems of Cybernetics and Computational Mathematics [in Russian], No. 24, Fan, Tashkent (1969), pp. 114–122.

    Google Scholar 

  49. Kh. Urakov, “Conditional bases of arcs of a directed graph,” in: Problems of Cybernetics and Computational Mathematics [in Russian], No. 25, Fan, Tashkent (1969), pp. 101–108.

    Google Scholar 

  50. I. A. Faradzhev, “Algorithm for the identification of the 2-components of a directed graph,” in: Proc. Third Winter School on Mathematical Programming and Related Problems, 1970 [in Russian], No. 3, Moscow (1970), pp. 650–654.

    Google Scholar 

  51. L. R. Ford, Jr., and D. R. Fulkerson, Flows in Networks, Princeton Univ. Press (N. J.) (1962).

  52. V. Chvátal, “Planar graphs with specified degrees of vertices,” in: Abstracts of Sci. Conf. Young Scientists of Moscow State Univ. [in Russian], Moscow Univ., Moscow (1968), p. 22.

    Google Scholar 

  53. L. N. Shevrin and N. D. Filippov, “Partially ordered sets and their comparability graphs,” Sibirsk. Matem. Za.,11, No. 3, 648–667 (1970).

    Google Scholar 

  54. N. Z. Shor and G. A. Donets, “Algebraic approach to the study of the four-color problem,” in: Optimum Decision Theory, Seminar [in Russian], No. 3, Kiev (1967), pp. 57–72.

    Google Scholar 

  55. N. Z. Shor and L. N. Zemlyanukhina, “Certain graph-theoretic combinatorial problems associated with a maximum internally stable set,” in: Mathematical Methods of System Research and Optimization [in Russian], No. 5, Kiev (1970), pp. 13–24.

    Google Scholar 

  56. M. Aigner, “Onthe linegraph of a directed graph,” Math. Z.,102, No. 1, 56–61 (1967).

    Google Scholar 

  57. M. Aigner and G. Prins, “Uniquely partially orderable graphs,” J. London Math. Soc.,3, No. 2, 260–266 (1971).

    Google Scholar 

  58. Y. Alavi and M. Behzad, “Complementary graphs and edge chromatic numbers,” SIAM J. Appl. Math.,20, No. 2, 161–163 (1971).

    Google Scholar 

  59. B. R. Alspach, A Class of Tournaments (doctoral dissertation), Univ. Calif. Santa Barbara (1966), 63 pages; Diss. Abstr.,B28, No. 3, 983–984 (1967).

  60. L. R. Alvarez, “Undirected graphs realizable as graphs of modular lattices,” Canad. J. Math.,17, No. 6, 923–932 (1965).

    Google Scholar 

  61. S. S. Anderson, Graph Theory and Finite Combinatorics, Markham, Chicago (1970), viii +180 pages; Publishers' Weekly,198, No. 19, 64–65 (1970).

    Google Scholar 

  62. D. Barnette, E. Jocovič, and M. Trenkler, “Toroidal maps with prescribed types of vertices and faces,” Mathematica (G. B.),18, No. 1, 82–90 (1971).

    Google Scholar 

  63. A. Battersby, Network Analysis for Planning and Scheduling Transportation, Macmillan, New York (1964).

    Google Scholar 

  64. M. Behzad, “A criterion for the planarity of the total graph of a graph,” Proc. Cambridge Phil. Soc.,63, No. 3, 679–681 (1967).

    Google Scholar 

  65. M. Behzad, “The total chromatic number of a graph: a survey,” in: Combinatorial Mathematics and Its Applications, London-New York (1971), pp. 1–8.

  66. M. Behzad and G. Chartrand, “Total graphs and traversability,” Proc. Edinburgh Math. Soc.,15, No. 2, 117–120 (1966).

    Google Scholar 

  67. M. Behzad and H. Radjavi, “Structure of regular total graphs,” J. London Math. Soc.,44, No. 3, 433–436 (1969).

    Google Scholar 

  68. L. W. Beineke, “The decomposition of complete graphs into planar subgraphs,” in: Graph Theory and Theoretical Physics, Academic Press, New York-London (1967), pp. 139–153.

    Google Scholar 

  69. L. W. Beineke, “A survey of packings and coverings of graphs,” Lect. Notes Math.,110, 45–53 (1969).

    Google Scholar 

  70. L. W. Beineke and G. Chartrand, “The coarseness of a graph,” Compos. Math.,19, No. 4, 290–298 (1968).

    Google Scholar 

  71. L. W. Beineke and F. Harary, “The genus of the n-cube,” Canad. J. Math.,17, No. 3, 494–496 (1965).

    Google Scholar 

  72. L. W. Beineke and F. Harary, “The maximum number of strongly connected subtournaments,” Canad. Math. Bull.,8, No. 4, 491–498 (1965).

    Google Scholar 

  73. Beiträge zur Graphentheorie, Internat. Kolloq., Manebach (DDR), May 9–12, 1967, Teubner, Leipzig (1968), 394 pages.

  74. R. Bellman, K. L. Cooke, and J. A. Lockett, Algorithms, Graphs, and Computers, Academic Press, New York-London (1970), 246 pages.

    Google Scholar 

  75. C. Berge, Graphes et Hypergraphes, Dunod, Paris (1970), xviii + 502 pages.

    Google Scholar 

  76. C. Berge and A. Ghouila-Houri, Programming, Games, and Transportation Networks, Methuen, London (1965).

    Google Scholar 

  77. J. C. Bermond, “Graphes orientés fortement k-connexes et graphes k-arc-hamiltoniens,” Compt. Rend.,271, No. 3, A141-A144 (1970).

    Google Scholar 

  78. Bibliographie. Beitr. Graphentheorie, Internat. Kolloq., Manebach, 1967, Leipzig (1968), pp. 233–394.

  79. J. Blažek and M. Koman, “Průseĉíkové ĉíslo pùlných k-chromatických grafú,” in: Mat. Geometrie a Teorie Grafú, Prague (1970), pp. 69–84.

  80. J. C. Boland, “Embedding of graphs in orientable surfaces,” in: Theory of Graphs, Budapest (1968), p. 27.

  81. J. A. Bondy, “A note on the diameter of a graph,” Canad. Math. Bull,11, No. 3, 499–501 (1968).

    Google Scholar 

  82. J. A. Bondy, “Bounds for the chromatic number of a graph,” J. Comb. Theory,7, No. 1, 96–98 (1969).

    Google Scholar 

  83. J. A. Bondy, “Properties of graphs with constraints on degrees,” Studia Sci. Math. Hung.,4, Nos. 1–4, 473–475 (1969).

    Google Scholar 

  84. J. Bosák, “The graphs of semigroups,” in: Theory of Graphs and Applications, Prague (1964), pp. 119–125.

  85. J. Bosák, “Hamiltonian lines in cubic graphs,” in: Théorie des Graphes Journées Internat. d'Étude, Rome, 1966, Paris-New York (1967), pp. 35–46.

  86. R. C. Bose and S. S. Shrikhande, “Graphs in which each pair of vertices is adjacent to the same number d of other vertices,” Studia Sci. Math. Hung.,5, Nos. 1–2, 181–195 (1970).

    Google Scholar 

  87. W. G. Brown, “On the nonexistence of a type of regular graphs of girth 5,” Canad. J. Math.,19, No. 3, 644–648 (1967).

    Google Scholar 

  88. W. G. Brown and J. W. Moon, “Sur les ensembles de sommets indépendants dans les graphes chromatiques minimaux,” Canad. J. Math.,21, No. 2, 274–278 (1969).

    Google Scholar 

  89. A. Brownlee, “Directed graph realization of degree pairs,” Amer. Math. Monthly,75, No. 1, 36–38 (1968).

    Google Scholar 

  90. R. A. Brualdi, “Matchings in arbitrary graphs,” Proc. Cambridge Phil. Soc.,69, No. 3, 401–407 (1971).

    Google Scholar 

  91. R. G. Busacker and T. L. Saaty, Finite Graphs and Networks, McGraw-Hill, New York (1965).

    Google Scholar 

  92. M. Capobianco, J. B. Frechen, and M. Kronk (eds.), Recent Trends in Graph Theory, Proc. First New York City Graph Theory Conf., June 11–13, 1970 (Lect. Notes Math., Vol. 186), Springer, Berlin (1971), 219 pages.

    Google Scholar 

  93. D. Cartwright and F. Harary, “On the coloring of signed graphs,” Elem. Math.,23, No. 4, 85–89 (1968).

    Google Scholar 

  94. G. Chartrand, “On Hamiltonian linegraphs,” Trans. Amer. Math. Soc.,134, No. 3, 559–566 (1968).

    Google Scholar 

  95. G. Chartrand and D. P. Geller, “On uniquely colorable planar graphs,” J. Comb. Theory,6, No. 3, 271–289 (1969).

    Google Scholar 

  96. G. Chartrand, D. P. Geller, and S. Hedetniemi, “A generalization of the chromatic number,” Proc. Cambridge Phil. Soc.,64, No. 2, 265–271 (1968).

    Google Scholar 

  97. G. Chartrand, D. P. Geller, and S. Hedetniemi, “Graphs with forbidden subgraphs,” J. Comb. Theory,B10, No. 1, 12–41 (1971).

    Google Scholar 

  98. G. Chartrand and S. F. Kapoor, “The cube of every connected graph is 1-Hamiltonian,” J. Res. Nat. Bur. Stds.,B73, No. 1, 47–48 (1969).

    Google Scholar 

  99. G. Chartrand and S. F. Kapoor (eds.), The Many Facets of Graph Theory, Proc. Conf. Western Michigan Univ. (Kalamazoo), Oct. 31–Nov. 2, 1968, Springer, Berlin-New York (1969), viii +290 pages.

    Google Scholar 

  100. G. Chartrand, S. F. Kapoor, and H. V. Kronk, “A sufficient condition for n-connectedness of graphs,” Mathematica,15, No. 1, 51–52 (1968).

    Google Scholar 

  101. G. Chartrand, S. F. Kapoor, and H. V. Kronk, “A generalization of Hamiltonian-connected graphs,” J. Math. Pures et Appl.,48, No. 2, 109–116 (1969).

    Google Scholar 

  102. G. Chartrand, H. V. Kronk, and D. R. Lick, “Randomly Hamiltonian digraphs,” Fund. Math.,65, No. 2, 223–226 (1969).

    Google Scholar 

  103. G. Chartrand and D. R. Lick, “Random Eulerian digraphs,” Czech. Mat. J.,21, No. 3, 424–430 (1971).

    Google Scholar 

  104. G. Chartrand and M. J. Stewart, “The connectivity of line-graphs,” Math. Ann.,182, No. 3, 170–174 (1969).

    Google Scholar 

  105. G. Chartrand and A. T. White, “Randomly traversable graphs,” Elem. Math.,25, No. 5, 101–107 (1970).

    Google Scholar 

  106. G. Chaty, “Unicité de certains chemins dans des graphes fortement connexés,” Compt. Rend.,272, No. 11, A710-A713 (1971).

    Google Scholar 

  107. V. Chvátal, “Planarity of graphs with given degrees of vertices,” Nieuw Arch. Wisk.,17, No. 1, 47–60 (1969).

    Google Scholar 

  108. G. A. Dirac “On rigid circuit graphs,” Abh. Math. Semin. Univ. Hamburg,25, Nos. 1–2, 71–76 (1961).

    Google Scholar 

  109. G. A. Dirac, “Minimally 2-connected graphs,” J. Reine und Angew. Math.,288, 204–216 (1967).

    Google Scholar 

  110. R. J. Douglas, “Tournaments that admit exactly one Hamiltonian circuit,” Proc. London Math. Soc.,21, No. 4, 716–730 (1970).

    Google Scholar 

  111. T. A. Dowling and R. Laskar, “A geometric characterization of the line graph of a projective plane,” J. Comb. Theory,3, No. 4, 402–410 (1967).

    Google Scholar 

  112. D. Elliott and P. Erdös, “Some matching theorems,” J. Indian Math. Soc.,32, Nos. 3–4, 215–219 [1968 (1969)].

    Google Scholar 

  113. P. Erdös, “Some recent results on extremal problems in graph theory (results),” in: Théorie des Graphes, Journées Internat. d'Étude, Rome, 1966, Paris-New York (1967), pp. 117–130.

  114. P. Erdös, “Some remarks on chromatic graphs,” Colloq. Math.,16, 253–256 (1967).

    Google Scholar 

  115. P. Erdös, “Problems and results in chromatic graph theory,” in: Proof Techniques in Graph Theory, New York-London (1969), pp. 27–35.

  116. P. Erdös, “Some unsolved problems in graph theory and combinatorial analysis,” in: Combinatorial Mathematics and Its Applications, London-New York (1971), pp. 97–109.

  117. P. Erdös, L. Gerencsér, and A. Máaé, “Problems of graph theory concerning optimal design, in: Combinatorial Theory and Its Applications, Colloq., Balatonfüred, Hungary, Aug. 24–29, 1969 (P. Erdös et al., eds.), Vol. 1, North-Holland, Amsterdam-London (1970), pp. 317–326.

    Google Scholar 

  118. P. Erdös, A. W., Goodman, and L. Pósa, “The representation of a graph by set intersections,” Canad. J. Math.,18, No. 1, 106–112 (1966).

    Google Scholar 

  119. P. Erdös and A. Hajnal, “On chromatic number of graphs and set-systems,” Acta Math. Acad. Sci. Hung.,17, Nos. 1–2, 61–99 (1966).

    Google Scholar 

  120. P. Erdös and G. Katona (eds.), Theory of Graphs, Proc. Colloq., Tihany, Hungary, Sept., 1966, Akad. Kiadó, Budapest (1968), 370 pages.

    Google Scholar 

  121. P. Erdös and J. W. Moon, “On sets of consistent arcs in a tournament,” Canad. Math. Bull.,8, No. 3, 269–271 (1965).

    Google Scholar 

  122. P. Erdös and L. Moser, “On the representation of directed graphs as unions of orderings,” Magy. Tud. Akad. Mat. Kutató Int. Közl.,9, Nos. 1–2, 125–132 (1964).

    Google Scholar 

  123. J. Flamčik and E. Jucovič, “Colouring the edges of a multigraph,” Arch. Math.,21, No. 4, 446–448 (1970).

    Google Scholar 

  124. C. Flament, “Applications of Graph Theory to Group Structure. Sociology, Prentice-Hall, Englewood Cliffs, N. J. (1963).

    Google Scholar 

  125. J. H. Folkman, An Upper Bound on the Chromatic Number of a Graph, Rand Corp. Mem. RM-5808-PR (February, 1969).

  126. I. T. Frisch, “An algorithm for vertex-pair connectivity,” Internat. J. Control,6, No. 6, 579–593 (1967).

    Google Scholar 

  127. D. P. Geller, “Minimally strong digraphs,” Proc. Edinburgh Math. Soc.,17, No. 1, 15–22 (1970).

    Google Scholar 

  128. D. P. Geller and F. Harary, “Connectivity in digraphs,” Lect. Notes Math.,186, 105–115 (1971).

    Google Scholar 

  129. P. C. Gilmore and A. J. Hoffman, “A characterization of comparability graphs and of interval graphs,” Canad. J. Math.,16, No. 3, 539–548 (1964).

    Google Scholar 

  130. F. Glifjak and J. Plesnik, “On the existence of certain overgraphs of given graphs,” Acta Fac. Rerum Natur. Univ. Comen. Math.,23, 113–119 (1970).

    Google Scholar 

  131. Graphentheorie, Math. Forschungsinst. Oberwolfach. Tagung, June 30–July 6, 1967.

  132. J. E. Graver and J. Yackel, “An upper bound for Ramsey numbers,” Bull. Amer. Math. Soc.,72, No. 6, 1076–1079 (1966).

    Google Scholar 

  133. B. Grünbaum, “Grötzsch's theorem on 3-colorings,” Mich. Math. J.,10, No. 3, 303–310 (1963).

    Google Scholar 

  134. B. Grünbaum, Convex Polytopes (Pure and Appl. Math., Vol. 16), Interscience, London-New York-Sydney (1967), xiv + 456 pages.

    Google Scholar 

  135. B. Grünbaum, “Planar maps with prescribed types of vertices and faces,” Mathematica,16, No. 1, 28–36 (1969).

    Google Scholar 

  136. B. Grünbaum, “On n-connected graphs,” Math. Nachr.,39, Nos. 4–6, 345–347 (1969).

    Google Scholar 

  137. B. Grünbaum, “Higher-dimensional analogs of the four-color problems and some inequalities for simplicial complexes,” J. Comb. Theory,8, No. 2, 147–153 (1970).

    Google Scholar 

  138. R. P. Gupta, “On basis digraphs,” J. Comb. Theory,3, No. 1, 16–24 (1967).

    Google Scholar 

  139. R. P. Gupta, “A decomposition theorem for bipartite graphs (results),” in: Théorie des Graphes, Journées Internat. d'Étude, Rome, 1966, Paris-New York (1967), pp. 135–138.

  140. R. P. Gupta, “Independence and covering numbers of line graphs and total graphs,” in: Proof Techniques in Graph Theory, New York-London (1969), pp. 61–62.

  141. R. P. Gupta, “Bounds on the chromatic and achromatic numbers of complementary graphs,” in: Recent Progress in Combinatorics, New York-London (1969), pp. 229–235.

  142. R. K. Guy, “A coarseness conjecture of Erdös,” J. Comb. Theory,3, No. 1, 38–42 (1967).

    Google Scholar 

  143. R. K. Guy, “Latest results of crossing numbers,” Lect. Notes Math.,186, 143–156 (1971).

    Google Scholar 

  144. R. K. Guy and L. W. Beineke, “The coarseness of the complete graph,” Canad. J. Math.,20, No. 4, 888–894 (1968).

    Google Scholar 

  145. R. K. Guy and T. A. Jenkyns, “The toroidal crossing number of Km,n,” J. Comb. Theory,6, No. 3, 235–250 (1969).

    Google Scholar 

  146. C. E. Haff, U. S. R. Murty, and R. C. Wilton, “A note on undirected graphs realizable as p. o. sets,” Canad. Math. Bull.,13, No. 3, 371–374 (1970).

    Google Scholar 

  147. S. L. Hakimi and H. Frank, “Maximum internally stable sets of a graph,” J. Math. Anal. and Appl.,25, No. 2, 296–308 (1969).

    Google Scholar 

  148. R. Halin, “A theorem on n-connected graphs,” J. Comb. Theory,7, No. 2, 150–154 (1969).

    Google Scholar 

  149. R. Halin, “Studies on minimally n-connected graphs,” in: Combinatorial Mathematics and Its Applications, London-New York (1971), pp. 129–136.

  150. R. Halin, “Unendliche minimale n-fach zusammenhängende Graphen,” Abh. Math. Sem. Univ. Hamburg,36, 75–88 (1971).

    Google Scholar 

  151. F. Harary, “A characterization of block-graphs,” Canad. Math. Bull.,6, No. 1, 1–6 (1963).

    Google Scholar 

  152. F. Harary (ed.), Graph Theory and Theoretical Physics. Academic Press, New York-London (1967), xvi + 358 pages.

    Google Scholar 

  153. F. Harary (ed.), Proof Techniques in Graph Theory, Proc. Second Ann Arbor Graph Theory Conf., Feb., 1968, Academic Press, New York-London (1969), xv + 330 pages.

    Google Scholar 

  154. F. Harary, Graph Theory, Addison-Wesley, Reading, Mass. (1969), 274 pages.

    Google Scholar 

  155. F. Harary, “The Greek alphabet of ‘graph theory,’” in: Recent Progress in Combinatorics, New York-London (1969), pp. 13–20.

  156. F. Harary and L. Beineke (eds.), A Seminar on Graph Theory, Holt, Rinehart, and Winston, New York (1967), x + 116 pages.

    Google Scholar 

  157. F. Harary and S. Hedetniemi, “The achromatic number of a graph,” J. Comb. Theory,8, No. 2, 154–161 (1970).

    Google Scholar 

  158. F. Harary, S. Hedetniemi, and G. Prins, “An interpolation theorem for graphical homomorphisms,” Port. Math.,26, Nos. 3–4, 453–462 (1967).

    Google Scholar 

  159. F. Harary, L. Beineke, and R. W. Robinson, “Uniquely colorable graphs,” J. Comb. Theory,6, No. 3, 264–270 (1969).

    Google Scholar 

  160. F. Harary and C. St. J. A. Nash-Williams, “On Eulerian and Hamiltonian graphs and line graphs,” Canad. Math. Bull.,8, No. 6, 701–709 (1965).

    Google Scholar 

  161. F. Harary, R. Z. Norman, and D. Cartwright, Structural Models (An Introduction to the Theory of Directed Graphs), Wiley, New York (1965).

    Google Scholar 

  162. H. Harborth, “Diagonalen in regulären n-Eck,” Elem. Math.,24, 104–109 (1969).

    Google Scholar 

  163. I. Havel, “On the completeness number of a finite graph,” in: Beitr. Graphentheorie, Internat. Kolloq., Manebach, 1967, Leipzig (1968), pp. 71–74.

  164. A. M. Hobbs, “A survey of thickness,” in: Recent Progress in Combinatorics, New York-London (1969), pp. 255–264.

  165. A. J. Hoffman, “On eigenvalues and colorings of a graph,” in: Graph Theory and Applications, Proc. Advanced Sem., Academic Press, New York-London (1970), pp. 79–91.

    Google Scholar 

  166. A. J. Hoffman and L. Howes, “On eigenvalues and colorings of graphs,” Ann. New York Acad. Sci.,175, No. 1, 238–242 (1970).

    Google Scholar 

  167. J. Hopcroft and R. Tarjan, “Planarity testing in N log N steps,” Proc. IFIP Congr. 71 (Extended Abstracts), Booklet TA-2, Ljubljana (1971), pp. 18–22.

  168. J. Hopcroft and R. Tarjan, “A V2 algorithm for determining isomorphism of planar graphs,” Inform. Process. Lett.,1, No. 1, 32–34 (1971).

    Google Scholar 

  169. W. Imrich, “Realisierung von Metriken in Graphen,” Sitzungsber. Österr. Akad. Wiss. Math.-Naturwiss. Kl., Abt. 2,178, Nos. 1–3, 19–24 (1970).

    Google Scholar 

  170. P. Kainen, “On a problem of P. Erdös,” J. Comb. Theory,5, No. 4, 374–377 (1968).

    Google Scholar 

  171. S. F. Kapoor, H. V. Kronk, and D. R. Lick, “On detours in graphs,” Canad. Math. Bull.,11, No. 2, 195–201 (1968).

    Google Scholar 

  172. J. J. Karaganis, “On the cube of a graph,” Canad. Math. Bull.,11, No. 2, 295–296 (1968).

    Google Scholar 

  173. A. Kaufmann, Introduction a la Combinatorique en vue des Applications, Dunod, Paris (1968), 609 pages.

    Google Scholar 

  174. M. Kleinert, “Die Dicke des n-dimensionalen Würfel-Graphen” J. Comb. Theory,3, No. 1, 10–15 (1965).

    Google Scholar 

  175. D. J. Kleittman, “The crossing number of K5,n,” J. Comb. Theory,9, No. 4, 315–323 (1970).

    Google Scholar 

  176. K. Knödel, Graphentheoretische Methoden und ihre Anwendungen, Springer, Berlin (1969), viii + 111 pages.

    Google Scholar 

  177. M. Koman, “On the crossing numbers of graphs,” Acta Univ. Carol. Math. et Phys.,10, Nos. 1–2, 9–46 (1969).

    Google Scholar 

  178. M. Koman, “Extremal crossing numbers of complete k-chromatic graphs,” Mat. Čas.,20, No. 4, 315–325 (1970).

    Google Scholar 

  179. A. Kotzig, “Paare hajóssche graphen,” Čas. Péstov Mat.,88, No. 2, 236–240 (1963).

    Google Scholar 

  180. A. Kotzig, “Des cycles dans des tournois,” in: Théorie des Graphes, Journées Internat. d'Étude, Rome, 1966, Paris-New York (1967), pp. 203–208.

  181. A. Kotzig, “Sur les tournois avec des 3-cycles regulièrement placés, Mat. Čas.,19, No. 2, 126–134 (1969).

    Google Scholar 

  182. F. Kramer and H. Kramer, “Un probléme de coloration des sommets d'un graphe,” Compt. Rend.,268, No. 1, A46-A48 (1969).

    Google Scholar 

  183. M. M. Krieger, “Graphs edge-critical with respect to independence number,” Ann. New York Acad. Sci.,175, No. 1, 265–271 (1970).

    Google Scholar 

  184. H. V. Kronk, “A note on k-path Hamiltonian graphs,” J. Comb. Theory,7, No. 2, 104–106 (1969).

    Google Scholar 

  185. H. V. Kronk, “Variations on a theorem of Pósa,” Lect. Notes Math.,110, 193–197 (1969).

    Google Scholar 

  186. H. V. Kronk, “An analogue to the Heawood map-colouring problem,” J. London Math. Soc.,1, No. 4, 750–752 (1969).

    Google Scholar 

  187. J. B. Kruskal, “The number of simplices in a complex,” in: Mathematical Optimization Techniques, Univ. Calif. Press, Berkeley-Los Angeles (1963), pp. 251–278.

    Google Scholar 

  188. R. Lang and H. Walther, “Über die Anzahl der Knotenpunkte eines längsten Weges in planaren, kubischen, dreifach zusammenhängenden Graphen,” Studia Sci. Math. Hung.,5, Nos. 3–4, 221–228 (1970).

    Google Scholar 

  189. M. Las Vergnas, “Une propriété forte de connexité en théorie des graphes,” Compt. Rend.,266, No. 11, A561-A563 (1968).

    Google Scholar 

  190. M. Las Vergnas, “Une propriété forte de connexité en théorie des graphes,” Compt. Rend.,266, No. 12, A616-A618 (1968).

    Google Scholar 

  191. W. F. Lindgren, “An infinite class of hypo-Hamiltonian graphs,” Amer. Math. Monthly,74, No. 9, 1087–1089 (1967).

    Google Scholar 

  192. J. Q. Longyear, “Regular d-valent graphs of girth 6 and 2 (d2−d+1) vertices,” J. Comb. Theory,9, No. 4, 420–422 (1970).

    Google Scholar 

  193. C. S. Lorens, Flowgraphs for the Modeling and Analysis of Linear Systems, McGraw-Hill, New York-London (1964), ix + 178 pages; Brit. Nat. Bibliogr., No. 779, 20 (1964).

    Google Scholar 

  194. L. Lovász, “On chromatic number of finite set-systems,” Acta Math. Acad. Sci. Hung.,19, Nos. 1–2, 59–67 (1968).

    Google Scholar 

  195. W. Mader, “Homomorphieeigenschaften und mittlere Kantendichte von Graphen,” Math. Ann.,174, No. 4, 265–268 (1967).

    Google Scholar 

  196. W. Mader, “Homomorphiesätze für Graphen,” Math. Ann.,178, No. 2, 154–168 (1968).

    Google Scholar 

  197. W. Mader, “Minimale n-fach kantenzusammenhängende Graphen,” Math. Ann.,191, No. 1, 21–28 (1971).

    Google Scholar 

  198. W. Mader, “Minimale n-fach zusammenhängende Graphen mit maximaler Kantenzahl,” Z. reine und angew. Math.,249, 201–207 (1971).

    Google Scholar 

  199. W. Magnus, A. Karrass, and D. Solitar, Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations (Pure and Appl. Math., Vol. 13), Interscience, New York (1966), xii + 444 pages.

    Google Scholar 

  200. V. V. Menon, “Repeated adjoints of graphs,” in: Théorie des Graphes, Journées Internat. d'Ézude, Rome, 1966, Paris-New York (1967), pp. 245–248.

  201. J. Mitchem, “On the point-arboricity of a graph and its complement,” Canad. J. Math.,23, No. 2, 287–292 (1971).

    Google Scholar 

  202. J. W. Moon, Topics on Tournaments, New York-Montreal-London (1968), viii + 104 pages.

  203. J. W. Moon, “On cycles in tournaments,” Mat. Čas.,19, No. 2, 121–125 (1969).

    Google Scholar 

  204. J. W. Moon and L. Moser, “Generating oriented graphs by means of team comparisons,” Pacific J. Math.,21, No. 3, 531–535 (1967).

    Google Scholar 

  205. U. S. R. Murty, “On some extremal graphs,” Acta Math. Acad. Sci. Hung.,19, Nos. 1–2, 69–74 (1968).

    Google Scholar 

  206. U. S. R. Murty, “On critical graphs of diameter 2,” Math. Mag.,41, No. 3, 138–140 (1968).

    Google Scholar 

  207. C. St. J. A. Nash-Williams, “Hamiltonian arc and circuits,” Lect. Notes Math.,186, 197–210 (1971).

    Google Scholar 

  208. T. Nemetz, “A teijes gráf adott Hamilton körével adott számú közös élt tartalmazó Hamilton közök számarol,” Mat. Lapok,21, Nos. 1–2, 65–81 (1970).

    Google Scholar 

  209. O. Ore, “Hamilton connected graphs,” J. Math. Pures et Appl.,42, No. 1, 21–27 (1963).

    Google Scholar 

  210. O. Ore, The Four-Color Problem (Pure and Appl. Math., Vol. 27), Academic Press, New York-London (1967), xvi + 259 pages.

    Google Scholar 

  211. O. Ore and M. D. Plummer, “Cyclic coloration of plane graphs,” in: Recent Progress in Combinatorics, New York-London (1969), pp. 287–293.

  212. A. Owens, “On the biplanar-crossing number,” IEEE Trans. Circuit Theory, CT-18, No. 2, 277–280 (1971).

    Google Scholar 

  213. I. Palasti, “On Hamilton-cycles of random graphs,” Period. Math. Hung.,1, No. 2, 107–112 (1971).

    Google Scholar 

  214. U. Pape, “Eine Bibliographie zu kürzeste Weglängen und Wege in Graphen und Netzwerken,” Elektron. Datenverarb.,11, No. 6, 271–274 (1969).

    Google Scholar 

  215. J. Plesnik, “On homogeneous tournaments,” Acta Fac. Rerum Natur. Univ. Comen. Math., No. 21, 26–34 (1969).

    Google Scholar 

  216. M. D. Plummer, On the Theory of Graphical Coverings (doctoral dissertation), Univ. Mich. (1966), 98 pages; Diss. Abstr.,B27, No. 7, 2449 (1967).

  217. M. D. Plummer, “On minimal blocks,” Trans. Amer. Math. Soc.,134, No. 1, 85–94 (1968).

    Google Scholar 

  218. A. Pnueli, A. Lempel, and S. Even, “Transitively orientable graphs,” in: Proc. 13th Midwest Sympos. Circuit Theory, Minneapolis, Minn., 1970, New York (1970), VII 7/1–VII 7/2.

  219. L. Pósa, “A theorem concerning Hamilton lines,” Magy. Tud. Akad. Mat. Kutató Int. Közl.,7, Nos. 1–2, 225–226 (1962).

    Google Scholar 

  220. K. P. Rajappan, “Realisation of cutset matrices into graphs,” Electron. Lett.,3, No. 10, 449–450 (1967).

    Google Scholar 

  221. R. A. Ramachandra, “An extremal problem in graph theory,” Israeli J. Math.,6, No. 3, 261–266 (1968).

    Google Scholar 

  222. R. A. Ramachandra and S. B. Rao, “On the power sequence of a graph,” Israeli J. Math.,8, No. 4, 398–402 (1970).

    Google Scholar 

  223. D. K. Ray-Chaudhuri, “Characterization of line graphs,” J. Comb. Theory,3, No.3, 201–214 (1967).

    Google Scholar 

  224. R. C. Read, “An introduction to chromatic polynomials,” J. Comb. Theory,4, No. 1, 52–71 (1968).

    Google Scholar 

  225. K. B. Reid, “On sets of arcs containing no cycles in a tournament,” Canad. Math. Bull.,12, No. 3, 261–264 (1969).

    Google Scholar 

  226. K. B. Reid, “Connectivity in products of graphs,” SLAM J. Appl. Math.,18, No. 3, 645–651 (1970).

    Google Scholar 

  227. K. B. Reid and E. T. Parker, “Disproof of a conjecture of Erdös and Moser on tournaments,” J. Comb. Theory,9, No. 3, 225–238 (1970).

    Google Scholar 

  228. P. L. Renz, “Intersection representations of graphsbyarcs,” Pacific J. Math.,34, No. 2, 501–510 (1970).

    Google Scholar 

  229. G. Ringel, Färbungsprobleme auf Flächen und Graphen, Deutsch. Verl. Wiss., Berlin (1959), vIII +132 pages; Deutsch. Nationalbibliogr., A, No. 8, 542 (1960).

    Google Scholar 

  230. G. Ringel, “Das Geschlecht des vollständigen paaren Graphen,” Abh. Math. Sem. Univ. Hamburg,28, Nos. 3–4, 139–150 (1965).

    Google Scholar 

  231. G. Ringel, “Ein Sechsfarbenproblem auf der Kugel,” Abh. Math. Sem. Univ. Hamburg,29, Nos. 1–2, 107–117 (1965).

    Google Scholar 

  232. G. Ringel and J. W. T. Youngs, “Solution of the Heawood map-coloring problem,” Proc. Nat. Acad. Sci. US,60, No. 2, 438–445 (1968).

    Google Scholar 

  233. G. Ringel and J. W. T. Youngs, “Lösung des Problems der Nachbargebiete,” Arch. Math.,20, No. 2, 190–201 (1969).

    Google Scholar 

  234. F. S. Roberts, “On the boxicity and cubicity of a graph,” in: Recent Progress in Combinatorics, New York-London (1969), pp. 301–310.

  235. D. F. Robinson, “Symmetric embeddings of graphs,” J. Comb. Theory,9, No. 4, 377–400 (1970).

    Google Scholar 

  236. M. Rosenfeld, “On a problem of C. E. Shannon in the graph theory,” Proc. Amer. Math. Soc.,18, No. 2, 315–319 (1967).

    Google Scholar 

  237. R. Rosenstiehl (ed.), Theory of Graphs, Internat. Sympos., Rome 1967, Gordon and Breach, New York (1967).

    Google Scholar 

  238. B. Roy, Algèbre Moderne et Théorie des Graphes Orientées vers les Sciences Économiques et Sociales: Notions et Résultats Fondamentaux, Dunod, Paris (1969), 502 pages.

    Google Scholar 

  239. B. Roy, Algèbre Moderne et Théorie des Graphes Orientées vers les Sciences Économiques et Sociales: Applications et Problèmes Spécifiques, Dunod, Paris (1970), xxiv + 759 pages.

    Google Scholar 

  240. T. L. Saaty, “On polynomials and crossing numbers of complete graphs,” J. Comb. Theory,A10, No. 2, 183–184 (1971).

    Google Scholar 

  241. G. Sabidussi, “Existence and structure of self-adjoint graphs,” Math. Z.,104, No. 4, 257–280 (1968).

    Google Scholar 

  242. H. Sachs and M. Schauble, “Konstruktion von Graphen mit gewissen Färbungseigenschaften,” in: Beitr. Graphentheorie, Internat. Kolloq., Manebach, 1967, Leipzig (1968), pp. 131–136.

  243. N. Sauer, “Extremaleigenschaften regulärer Graphen gegebener Taillenweite. I. Teil,” Sitzungsber. Österr. Akad. Wiss. Math.-Naturwiss. Kl., Abt. 2,176, Nos. 1–3, 9–25 (1967).

    Google Scholar 

  244. N. Sauer, “Extremaleigenschaften regulärer Graphen gegebener Tailenweite. II. Teil,” Sitzungsber. Österr. Akad. Wiss. Math.-Naturwiss. Kl., Abt. 2,176, Nos. 1–3, 27–43 (1967).

    Google Scholar 

  245. N. Sauer, “On the maximal number of edges in graphs with a given number of edgedisjoint triangles2,” J. London Math. Soc.,4, No. 1 153–156 (1971).

    Google Scholar 

  246. B. L. Schwartz, “Infinite self-interchange graphs,” Pacific J. Math.,31, No. 2, 497–504 (1969).

    Google Scholar 

  247. J. Sedláček, Einführung in die Graphentheorie, Teubner, Leipzig (1968), 171 pages.

    Google Scholar 

  248. Shirakawa Isao, Takahashi Hiromitsu, and Ozaki Hiroshi, “Planar decomposition of a complete bipartite graph,” Tech. Rep. Osaka Univ.,17, No. 769–800, 221–227 (1967).

    Google Scholar 

  249. J. M. S. Simoes Pereira, “Pseudosymmetry, circuit-symmetry, and path-symmetry of diagraphs,” in: Recent Progress in Combinatorics, New York-London (1969), pp. 295–299.

  250. J. M. S. Simöes Pereira, “A note on the tree realizability of a distance matrix,” J. Comb. Theory,6, No. 3, 303–310 (1969).

    Google Scholar 

  251. M. Simonovits, “A new proof and generalizations of a theorem of Erdös and Pósa on graphs without k + 1 independent circuits,” Acta Math. Acad. Sci. Hung.,18, Nos. 1–2, 191–206 (1967).

    Google Scholar 

  252. R. Singleton, “On minimal graphs of maximum even girth,” J. Comb. Theory,1, No. 3, 306–332 (1966).

    Google Scholar 

  253. B. M. Stewart, “On a theorem of Nordhaus and Gaddum,” J. Comb. Theory,6, No. 2, 217–218 (1969).

    Google Scholar 

  254. E. Szekeres and G. Szekeres, “On a problem of Schütte and Erdös,” Math. Gaz.,49, No. 369, 290–293 (1965).

    Google Scholar 

  255. G. Szekeres and H. S. Wilf, “An inequality for the chromatic number of a graph,” J. Comb. Theory,4, No. 1, 1–3 (1968).

    Google Scholar 

  256. J.-I. Tafteberg, Weakenings of the Conjecture of Hadwiger for 8- and 9-Chromatic Graphs, Preprint Ser. Mat. Inst. Aarhus Univ., No. 22 (1970–71), 17 pages.

  257. J.-I. Tafteberg, Théorie des Graphes, Journées Internat, d' Étude, Rome, July, 1966, Dunod, Paris; Gordon and Breach, New York (1967), xi + 416 pages.

  258. A. Tucker, “Characterizing circular-arc graphs,” Bull. Amer. Math. Soc.,76, No. 6, 1257–1260 (1970).

    Google Scholar 

  259. J. Turner, “Key-word indexed bibliography of graph theory,” in: Proof Techniques in Graph Theory, New York-London (1969), pp. 189–330.

  260. J. Turner and W. H. Kautz, “A survey of progress in graph theory in the Soviet Union,” SIAM Rev.,12, Suppl., 1–68 (1970).

    Google Scholar 

  261. W. T. Tutte, “A theorem on planar graphs,” Trans. Amer. Math. Soc.,82, No. 1, 99–116 (1956).

    Google Scholar 

  262. W. T. Tutte, Connectivity in Graphs, Univ. Toronto Press (1966).

  263. W. T. Tutte (ed.), Recent Progress in Combinatorics, Proc. Third Waterloo Conf. Combinatorics, May, 1968, Academic Press, New York-London (1969), xiv + 347 pages.

    Google Scholar 

  264. W. T. Tutte, “On chromatic polynomials and the golden ratio,” J. Comb. Theory,9, No. 3, 289–296 (1970).

    Google Scholar 

  265. N. Vijayaditya, “On total chromatic number of a graph,” J. London Math. Soc.,3, No. 3, 405–408 (1971).

    Google Scholar 

  266. K. Wagner, “Beweis einer Abschwächung der Hadwiger-Vermuttung,” Math. Ann.,153, No. 2, 139–141 (1964).

    Google Scholar 

  267. K. Wagner, “Fastplättbare Graphen,” J. Comb. Theory,3, No. 4, 326–365 (1967).

    Google Scholar 

  268. K. Wagner, “Zum Basisproblem der nicht in die projektive Ebene einbettbaren Graphen (I),” J. Comb. Theory,9, No. 1, 27–43 (1970).

    Google Scholar 

  269. K. Wagner, Graphentheorie, Bibliogr. Inst., Mannheim-Vienna-Zurich (1970); 220 pages; Deutsch. Bibliogr., A, No. 1, 39 (1971).

  270. W. D. Wallis, “A nonexistence theorem for (v, k, λ)-graphs,” J. Austral. Math. Soc.,11, No. 3, 381–383 (1970).

    Google Scholar 

  271. W. D. Wallis, “Construction of strongly regular graphs using affine designs,” Bull. Austral Math. Soc.,4, No. 1, 41–49 (1971).

    Google Scholar 

  272. H. Walther, “Über die Länge eines längsten Kreises in regulären Graphen beliebigen Zusammenhanges,” Wiss. Z. Tech. Hochschule Ilmenau,13, No. 4, Teil 2, 427–429 (1967).

    Google Scholar 

  273. H. Walther, “Über die Anzahl der Knotenpunkte eines längsten Kreises in planaren, kubischen, dreifach knotenzusammenhängenden Graphen,” Studia Sci. Math. Hung.,2, Nos. 3–4, 391–398 (1967).

    Google Scholar 

  274. H. Walther, “Über das Problem der Existenz von Hamiltonkreisen in planaren, regulären Graphen,” Math. Nachr.,39, Nos. 4–6, 277–296 (1969).

    Google Scholar 

  275. M. E. Watkins, “A theorem on Tait colorings with an application to the generalized Petersen graphs,” in: Proof Techniques in Graph Theory, New York-London (1969), pp. 171–178.

  276. M. E. Watkins and D. M. Mesner, “Cycles and connectivity in graphs,” Canad. J. Math.,19, No. 6, 1319–1328 (1967).

    Google Scholar 

  277. D. J. A. Welsh (ed.), Combinatorial Mathematics and Its Applications, Proc. Conf. Math. Inst., Oxford, July 7–10, 1969, Academic Press, New York-London (1971), x + 364 pages.

    Google Scholar 

  278. W. Wessel, “Eine Methode zur Konstruktion von kanten-p-kritischen Graphen,” in: Beitr. Graphentheorie, Internat. Kolloq., Manebach, 1967, Leipzig (1968), pp. 207–210.

  279. H. S. Wilf, “The eigenvalues of a graph and its chromatic number,” J. London Math. Soc.,42, No. 2, 330–332 (1967).

    Google Scholar 

  280. J. W. T. Youngs, “The mystery of Heawood conjecture,” in: Graph Theory and Applications, Proc. Adv. Sem., Academic Press, New York-London (1970), pp. 17–51.

    Google Scholar 

  281. J. Zaks, “The analogue of Eberhard's theorem for 4-valent graphs on the torus,” Israeli J. Math.,9, No. 3, 299–305 (1971).

    Google Scholar 

  282. B. Zelinka, “Graf systému tétiv dané kružnice,” Mat.-Fyz. Čas.,15, No. 4, 273–279 (1965).

    Google Scholar 

  283. B. Zelinka, “On the number of independent complete subgraphs,” Publ. Math.,13, Nos. 1–4, 95–97 (1966).

    Google Scholar 

  284. B. Zelinka, “Poznámka nekonečných hranově disjunktnich systémech cest v grafu,” Cas. Pěstov. Mat.,92, No. 3, 289–293 (1967).

    Google Scholar 

  285. B. Zelinka, “Some remarks on Menger's theorem,” Čas. Pěstov. Mat.,96, No. 2, 145–150 (1971).

    Google Scholar 

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Translated from Itogi Nauki i Tekhniki (Teoriya Veroyatnostei, Matematicheskaya Statistika, Teoreticheskaya Kibernetika), Vol. 10, pp. 25–74 (1972).

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Kozyrev, V.P. Graph theory. J Math Sci 2, 489–519 (1974). https://doi.org/10.1007/BF01085015

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