Skip to main content
SpringerLink
Log in

Graph theory and molecular orbitals

  • Conference paper
  • First Online:
New Concepts II

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Avondo-Bodino, G.: Economic applications of the theory of graphs. New York: Gordon and Breach 1962.

    Google Scholar 

  2. Mattuck, R. D.: A guide to Feynman diagrams in the many-body problem. New York: McGraw-Hill 1967.

    Google Scholar 

  3. Harary, F.: Graph theory and theoretical physics. New York: Academic Press 1966.

    Google Scholar 

  4. Cartwright, D., Harary, F.: Psychol. Rev. 63, 277 (1963).

    Google Scholar 

  5. Lane, R.: Elemente der Graphentheorie und ihre Anwendung in den biologischen Wissenschaften. Leipzig: Akademischer Verlag 1970.

    Google Scholar 

  6. Čulik, K.: Application of graph theory to mathematical logics and linguistics. Prague: Czechoslovak. Acad. Sci. 1964.

    Google Scholar 

  7. Flament, C.: Applications of graph theory to group structure. New York: Prentice-Hall 1963.

    Google Scholar 

  8. Harary, F.: Graph theory. Reading, Mass. Addison-Wesley 1969.

    Google Scholar 

  9. See, for example: Rouvray, D. H.: R. I. C. Rev. 4, 173 (1971).

    CAS  Google Scholar 

  10. Professor J.-E. Dubois (L'Université de Paris) has kindly informed us about a project in connection with the categorization of chemical systems going on in his laboratory.

    Google Scholar 

  11. Cayley, A.: Phil. Mag. 67, 444 (1874).

    Google Scholar 

  12. Pólya, G.: Acta Math. 68, 145 (1937).

    Google Scholar 

  13. Harary, F.: Usp. Mat. Nauk (USSR) 24, 179 (1969).

    Google Scholar 

  14. Ruch, E., Hasselbarth, W., Richter, B.: Theoret. Chim. Acta 19, 288 (1970).

    CAS  Google Scholar 

  15. Rouvray, D. H.: Chemistry 45, 6 (1972). — Ege, G.: Naturwissenschaften 58, 247 (1971).

    CAS  Google Scholar 

  16. Balaban, A. T.: Tetrahedron 27, 6115 (1971), and references therein.

    CAS  Google Scholar 

  17. Gordon, M., Davison, W. H. T.: J. Chem. Phys. 20, 428 (1952).

    CAS  Google Scholar 

  18. Yen, T. F.: Theoret. Chim. Acta 20, 399 (1971).

    CAS  Google Scholar 

  19. Cvetković, D., Gutman, I., Trinajstić, N.: Chem. Phys. Letters 16, 614 (1972).

    Google Scholar 

  20. Coulson, C. A., Rushbrooke, G. S.: Proc. Camb. Phil. Soc. 36, 193 (1940).

    CAS  Google Scholar 

  21. Ruedenberg, K.: J. Chem. Phys. 22, 1878 (1954).

    CAS  Google Scholar 

  22. Ham, N. S., Ruedenberg, K.: J. Chem. Phys. 29, 1199 (1958).

    CAS  Google Scholar 

  23. Ruedenberg, K.: J. Chem. Phys. 34, 1861 (1961).

    CAS  Google Scholar 

  24. Hückel, E.: Z. Physik 70, 204 (1931); 72,310 (1931); etc.

    Google Scholar 

  25. For some basic definitions of Graph Theory see also: Essam, J. W., Fisher, M. E.: Rev. Mod. Phys. 42, 272 (1970).

    Google Scholar 

  26. Berge, C.: The theory of graphs and its applications. London: Methuen 1962.

    Google Scholar 

  27. Sachs, H.: Publ. Math. (Debrecen) 11, 199 (1963).

    Google Scholar 

  28. Balandin, A. A.: Acta Physicochim. U. S. S. R. 12, 447 (1940).

    CAS  Google Scholar 

  29. Coulson, C. A.: Proc. Camb. Phil. Soc. 46, 202 (1949).

    Google Scholar 

  30. Gantmaher, F. R.: Matrix Theory (in Russian), Nauka. Moscow 1967.

    Google Scholar 

  31. Cvetković, D.: Publ. Fac. Electrotechnique Univ. Belgrade 354–356, 1 (1971).

    Google Scholar 

  32. Schuster, P.: Theoret. Chim. Acta 3, 278 (1965).

    Google Scholar 

  33. Wild, U., Keller, J., Günthard, H. H.: Theoret. Chim. Acta 14, 383 (1969).

    CAS  Google Scholar 

  34. Petersdorf, M., Sachs, H.: Wiss. Z. Techn. Hochsch. Ilmenau (D. D. R.) 15, 123 (1969).

    Google Scholar 

  35. Hückel, E.: Z. Physik 76, 628 (1932).

    Google Scholar 

  36. Coulson, C. A.: Proc. Phys. Soc. (London) 60, 268 (1947).

    Google Scholar 

  37. Coulson, C. A., Longuet-Higgins, H. C.: Proc. Roy. Soc. (London) A 191, 39 (1947); A 193, 447 (1948).

    Google Scholar 

  38. Bradburn, M., Coulson, C. A., Rushbrooke, G. S.: Proc. Roy. Soc. (Edinburgh) A 62, 336 (1948).

    Google Scholar 

  39. Heilbronner, E.: Helv. Chim. Acta 37, 921 (1954).

    CAS  Google Scholar 

  40. Peters, D.: J. Chem. Soc. 1958, 1023, 1028, 1031.

    Google Scholar 

  41. Polansky, O. E.: Monatsh. Chem. 91, 916 (1960).

    CAS  Google Scholar 

  42. Weltin, E., Gerson, F., Murrell, J. N., Heilbronner, E.: Helv. Chim. Acta 44, 1400 (1961).

    CAS  Google Scholar 

  43. Golebiewski, A.: Roczniki Chem. 36, 1511 (1962).

    CAS  Google Scholar 

  44. Heilbronner, E.: Tetrahedron Letters 1923 (1964).

    Google Scholar 

  45. Heilbronner, E.: Theoret, Chim. Acta 4, 64 (1966).

    CAS  Google Scholar 

  46. Kowalewski, M., Golebiewski, A.: Acta Phys. Polon. 35, 585 (1969).

    CAS  Google Scholar 

  47. Gutman, I., Milun, M., Trinajstić, N.: Croat. Chem. Acta 44, 207 (1972).

    CAS  Google Scholar 

  48. Gutman, I., Trinajstić, N., Živković, T.: Chem. Phys. Letters 14, 342 (1972).

    CAS  Google Scholar 

  49. Gutman, I., Trinajstić, N., Živković, T.: Croat. Chem. Acta 44, 501 (1972), Tetrahedron, in press.

    CAS  Google Scholar 

  50. Ore, O.: The four color problems. New York: Academic Press 1967.

    Google Scholar 

  51. Rouvray, D. H.: Compt. Rend. 275C, 657 (1972).

    Google Scholar 

  52. Coulson, C. A., Longuet-Higgins, H. C.: Proc. Roy. Soc. (London) A 192, 16 (1948).

    Google Scholar 

  53. Ham, N. S.: J. Chem. Phys. 29, 1229 (1958).

    CAS  Google Scholar 

  54. Hückel, E.: Z. Physik 83, 632 (1933).

    Google Scholar 

  55. See, for example, Salem, L.: The molecular orbital theory of conjugated systems. New York: Benjamin 1966.

    Google Scholar 

  56. Günthard, H. H., Primas, H.: Helv. Chim. Acta 51, 1675 (1956).

    Google Scholar 

  57. Schmidtke, H. H.: J. Chem. Phys. 45, 3920 (1966).

    CAS  Google Scholar 

  58. Dewar, M. J. S.: The molecular orbital theory of organic chemistry. New York: McGraw Hill 1969.

    Google Scholar 

  59. Harary, F.: SIAM Review 4, 202 (1962).

    Google Scholar 

  60. Bruck, R. H.: Pacific J. Math. 13, 421 (1963).

    Google Scholar 

  61. Baker, G. A.: J. Math. Phys. 7, 2238 (1966).

    Google Scholar 

  62. Fisher, M.: J. Combinatorial Theory 1, 105 (1966).

    Google Scholar 

  63. Ponstein, J.: SIAM J. Appl. Math. 14, 600 (1966).

    Google Scholar 

  64. Turner, J.: SIAM J. Appl. Math. 16, 520 (1968).

    Google Scholar 

  65. Doković, D. Ž.: Acta Math. Acad. Sci. Hung. 21, 104 (1970).

    Google Scholar 

  66. Balaban, A. T., Harary, F.: J. Chem. Docum. 11, 258 (1971).

    CAS  Google Scholar 

  67. Samuel, I.: Compt. Rend. 229, 1236 (1949).

    CAS  Google Scholar 

  68. Gourané, R.: J. Rech. Centre Natl. Rech. Sci. 34, 81 (1956).

    Google Scholar 

  69. Collatz, L., Sinogowitz, U.: Abhandl. Math. Sem. Univ. Hamburg 21, 63 (1957).

    Google Scholar 

  70. Spialter, L.: J. Am. Chem. Soc. 85, 2012 (1963).

    CAS  Google Scholar 

  71. Spialter, L.: J. Chem. Docum. 4, 261, 269 (1964).

    CAS  Google Scholar 

  72. Coulson, C. A.: private communication, December 1972.

    Google Scholar 

  73. Graovac, A., Gutman, I., Trinajstić, N., Živković, T.: Theoret. Chim. Acta (Berlin) 26, 67 (1972).

    CAS  Google Scholar 

  74. Heilbronner, E.: Helv. Chim. Acta 36, 170 (1953).

    CAS  Google Scholar 

  75. Hosoya, H.: Bull. Chem. Soc. Japan 44, 2332 (1971); Theoret. Chim. Acta 25, 215 (1972).

    CAS  Google Scholar 

  76. Hosoya, H.: private communication, June 1972.

    Google Scholar 

  77. Moffit, W.: J. Chem. Phys. 26, 424 (1957).

    Google Scholar 

  78. See, for example, Koutecký, J.: J. Chem. Phys. 44, 3702 (1966).

    Google Scholar 

  79. Cvetković, D.: Matematička Biblioteka (Beograd) 41, 193 (1969).

    Google Scholar 

  80. Rouvray, D. H.: Compt. Rend. 274C, 1561 (1972).

    Google Scholar 

  81. Bochvar, D. A., Stankevich, I. V., Chistyakov, A. L.: Zh. Fiz. Khim. 35, 55 (1961).

    Google Scholar 

  82. Bochvar, D. A., Stankevich, I. V., Chistyakov, A. L.: Zh. Fiz. Khim. 39, 1365 (1965).

    CAS  Google Scholar 

  83. Bochvar, D. A., Stankevich, I. V.: Zh. Fiz. Khim. 39, 2028 (1965).

    CAS  Google Scholar 

  84. Bochvar, D. A., Stankevich, I. V.: Zh. Fiz. Khim. 40, 2626 (1966).

    CAS  Google Scholar 

  85. Coulson, C. A.: Proc. Roy, Soc. (London) A 169, 413 (1939).

    Google Scholar 

  86. Coulson, C. A., Longuet-Higgins, H. C.: Proc. Roy. Soc. (London) A 195, 188 (1948).

    Google Scholar 

  87. McClellan, A. L.: Tables of experimental dipole moments. San Francisco: Freeman and Co. 1963.

    Google Scholar 

  88. Lumbroso, H.: Compt. Rend. 228, 1425 (1949); Ann. Fac. Sci. Univ. Toulouse 14, 108 (1950).

    CAS  Google Scholar 

  89. Hannay, N. B., Smyth, C. P.: J. Am. Chem. Soc. 65, 1931 (1943).

    CAS  Google Scholar 

  90. Petro, A. J., Smyth, C. P.: J. Am. Chem. Soc. 79, 6142 (1957).

    CAS  Google Scholar 

  91. Petro, A. J.: J. Am. Chem. Soc. 80, 73 (1958).

    CAS  Google Scholar 

  92. Hess, B. A., Schaad, L. J.: J. Am. Chem. Soc. 93, 305, 2413 (1971).

    CAS  Google Scholar 

  93. Schaad, L. J., Hess, B. A.: J. Am. Chem. Soc. 94, 3068 (1972).

    CAS  Google Scholar 

  94. Kirsanov, B. P., Bazilevski, M. V.: Zh. Strukt. Khim. 5, 99 (1964).

    CAS  Google Scholar 

  95. Meschetkin, M. M.: Vest. Leningr. Univ. 4, 12 (1960).

    Google Scholar 

  96. Dewar, M. J. S.: J. Am. Chem. Soc. 74, 3341, 3345, 3350, 3357 (1952).

    CAS  Google Scholar 

  97. Dewar, M. J. S.: Tetrahedron 8S, 75 (1966).

    Google Scholar 

  98. Hanson, A. W.: Acta Cryst. 19, 19 (1965).

    CAS  Google Scholar 

  99. Bastiansen, O., Derissen, J. L.: Acta Chem. Scand. 20, 1319 (1966).

    CAS  Google Scholar 

  100. Baumgartner, P., Weltin, E., Wagnieré, G., Heilbronner, E.: Helv. Chim. Acta 48, 751 (1965).

    CAS  Google Scholar 

  101. Hall, G. G.: Proc. Roy. Soc. (London) A 229, 251 (1955).

    Google Scholar 

  102. Coulson, C. A., Golebiewski, A.: Proc. Phys. Soc. (London) 78, 1310 (1961).

    CAS  Google Scholar 

  103. Boyd, G. V., Singer, N.: Tetrahedron 22, 3383 (1966).

    CAS  Google Scholar 

  104. Živković, T., Trinajstić, N.: Can. J. Chem. 47, 697 (1969).

    Google Scholar 

  105. Mulliken, R. S.: J. Chim. Phys. 46, 647 (1949).

    Google Scholar 

  106. Mulliken, R. S.: J. Chem. Phys. 23, 1833, 1841 (1955).

    CAS  Google Scholar 

  107. Ham, N. S., Ruedenberg, K.: J. Chem. Phys. 29, 1215 (1958).

    CAS  Google Scholar 

  108. Dasent, E. W.: Nonexistent compounds. New York: Dekker 1965.

    Google Scholar 

  109. Bastiansen, O., Hedberg, L., Hedberg, K.: J. Chem. Phys. 27, 1311 (1957).

    CAS  Google Scholar 

  110. Mislow, K., Perlmutter, H. D.: J. Am. Chem. Soc. 84, 3591 (1962).

    CAS  Google Scholar 

  111. Watts, L., Fitzpatrick, J. D., Pettit, R.: J. Am. Chem. Soc. 87, 3253 (1965).

    CAS  Google Scholar 

  112. Dewar, M. J. S., Kohn, M. C., Trinajstić, N.: J. Am. Chem. Soc. 93, 3437 (1971).

    CAS  Google Scholar 

  113. Skell, P. S., Peterson, R. Y.: J. Am. Chem. Soc. 86, 2530 (1964).

    CAS  Google Scholar 

  114. Cvetković, D., Gutman, I., Trinajstić, N.: Croat. Chem. Acta 44, 365 (1972).

    Google Scholar 

  115. Longuet-Higgins, H. C.: J. Chem. Phys. 18, 265 (1950).

    CAS  Google Scholar 

  116. Jahn, G. A., Teller, E.: Proc. Roy. Soc. (London) A 161, 220 (1937).

    Google Scholar 

  117. Dewar, M. J. S., Gleicher, G. J.: J. Am. Chem. Soc. 87, 3255 (1965).

    CAS  Google Scholar 

  118. Dewar, M. J. S., Harget, A. J., Haselbach, E.: J. Am. Chem. Soc. 91, 1521 (1969).

    Google Scholar 

  119. Wipff, G., Wahlgren, U., Kochanski, E., Lehn, J. M.: Chem. Phys. Letters 11, 350 (1970).

    Google Scholar 

  120. Cvetković, D., Gutman, I.: Matematički Vesnik (Beograd) 9, 141 (1972).

    Google Scholar 

  121. Müller, E., Müller-Rodloff, I.: Liebigs Ann. Chem. 517, 134 (1935).

    Google Scholar 

  122. Dewar, M. J. S., Longuet-Higgins, H. C.: Proc. Roy. Soc. (London) A 214, 482 (1952).

    Google Scholar 

  123. Cava, M. P., Mitchell, M. J.: Cyclobutadiene and related compounds. New York: Academic Press 1967.

    Google Scholar 

  124. Cvetković, D.: private communication, November 1972.

    Google Scholar 

  125. Wilcox, C. F.: Tetrahedron Letters 1968, 795.

    Google Scholar 

  126. Bochvar, D. A., Stankevich, I. V.: Zh. Strukt. Khim. 10, 680 (1969); 12, 142 (1971); 13, 1223 (1972).

    CAS  Google Scholar 

  127. Balaban, A. T.: Paper presented at the 6th Symposium on Theoretical Chemistry, Bad Ischl (Austria) 6–10 April 1970.

    Google Scholar 

  128. Živković, T.: Croat. Chem. Acta 44, 351 (1972).

    Google Scholar 

  129. Herndon, W. C.: Tetrahedron 28, 3675 (1972).

    CAS  Google Scholar 

  130. Rouvray, D. H.: Compt. Rend. 275 C, 363 (1972).

    Google Scholar 

  131. Fukui, K.: Topics Current Chem. 15/1, 1 (1970) and references therein. See also Fujimoto, H., Fukui, K.: In: Advances in quantum chemistry, (ed. P.-O. Löwdin) Vol. VI, pp. 177. New York: Academic Press 1972.

    Google Scholar 

  132. Dewar, M. J. S., Harget, A. J., Trinajstić, N., Worley, S. D.: Tetrahedron 26, 4505 (1970).

    CAS  Google Scholar 

  133. Klasinc, L., Trinajstić, N.: Tetrahedron 27, 4045 (1971).

    CAS  Google Scholar 

  134. Trinajstić, N.: Record Chem. Progr. 32, 85 (1971).

    Google Scholar 

  135. Young, R. H., Feriosi, D. T.: J. Chem. Soc. Chem. Commun. 1972, 841.

    Google Scholar 

  136. Kearns, D. R.: J. Am. Chem. Soc. 91, 6554 (1969).

    CAS  Google Scholar 

  137. Dewar, M. J. S.: J. Chem. Soc. 1952, 3532.

    Google Scholar 

  138. e.g. Karrer, P., Jucker, E.: Carotinoide. Basel: Birkhauser 1948.

    Google Scholar 

  139. Clar, E.: Polycyclic hydrocarbons. New York: Academic Press 1964.

    Google Scholar 

  140. Berlin, A. A., Vinogradov, G. A., Ovchinnikov, A. A.: Intern. J. Quant. Chem. 6, 263 (1972).

    CAS  Google Scholar 

  141. For reviews see Sondheimer, F.: Pure Appl. Chem. 7, 363 (1963); Proc. Roy. Soc. (London) A 297, 173 (1967); Proc. Robert A. Welch Found. Conf. Chem. Res. 12, 125 (1968).

    CAS  Google Scholar 

  142. Haddon, R. C., Haddon, V. R., Jackman, L. M.: Topics Current Chem. 16, 103 (1971).

    CAS  Google Scholar 

  143. Bergman, J.: Nature (London) 194, 679 (1962).

    Google Scholar 

  144. Bergman, J., Hirschfeld, F. L., Rabinovich, D., Schmidt, G. M. J.: Acta Cryst. 19, 227 (1965).

    Google Scholar 

  145. Johnson, S. M., Paul, I. C.: J. Am. Chem. Soc. 90, 6555 (1968).

    CAS  Google Scholar 

  146. Milun, M., Sobotka, Ž., Trinajstić, N.: J. Org. Chem. 37, 139 (1972).

    Google Scholar 

  147. Longuet-Higgins, H. C., Salem, L.: Proc. Roy. Soc. (London) A 251, 172 (1959); A 257, 445 (1960).

    Google Scholar 

  148. Sondheimer, F., Wolovsky, R.: J. Am. Chem. Soc. 84, 260 (1962).

    CAS  Google Scholar 

  149. Sondheimer, F., Gaoni, Y.: J. Am. Chem. Soc. 83, 1259 (1962).

    Google Scholar 

  150. Dewar, M. J. S., Gleicber, G. J.: J. Am. Chem. Soc. 87, 685 (1965).

    CAS  Google Scholar 

  151. Fukui, K., Imamura, A., Yonezawa, T., Nagata, C.: Bull. Chem. Soc. Japan 33, 1591 (1960).

    CAS  Google Scholar 

  152. Fukui, K., Fujimoto, H.: Bull. Chem. Soc. Japan 40, 2024 (1967).

    Google Scholar 

  153. Gutman, L, Milun, M., Trinajstić, N.: J. Chem. Phys., in press.

    Google Scholar 

  154. Goldstein, M. J., Hoffmann, R.: J. Am. Chem. Soc. 93, 6193 (1971).

    CAS  Google Scholar 

  155. Woodward, R. B., Hoffmann, R.: The conservation of orbital symmetry. Weinheim: Verlag Chemie GmbH 1970.

    Google Scholar 

  156. van der Hart, W. J., Mulder, J. J. C., Oosterhoff, L. J.: J. Am. Chem. Soc. 94, 5724 (1972).

    Google Scholar 

  157. Salem, L.: Chem. Brit. 5, 449 (1969).

    CAS  Google Scholar 

  158. Trindle, C.: J. Am. Chem. Soc. 92, 3251 (1970); Theoret. Chim. Acta 18, 261 (1970).

    CAS  Google Scholar 

  159. See for review Dewar, M. J. S.: Angew. Chem. intern. Ed. Engl. 10, 761 (1971).

    CAS  Google Scholar 

  160. Ugi, I., Marquarding, D., Klusacek, H., Gokel, G., Gillespie, P.: Angew. Chem. 82, 741 (1970).

    Google Scholar 

  161. Doering, W. von E., Knox, L. H.: J. Am. Chem. Soc. 76, 3203 (1954). — Dewar, M. J. S., Pettit, R.: Chem. Ind. (London) 1955, 199; J. Chem. Soc. 2021, 1955, 2026. — Dauben, H. J., Gadecky, F. A., Harmon, K. M., Pearson, D. L.: J. Am. Chem. Soc. 79, 4557 (1957). — Pauson, P. L.: In: Non-benzenoid aromatic hydrocarbons (ed. Ginsburg, D.), p. 107. New York: Interscience Publ. 1959.

    CAS  Google Scholar 

  162. Sondheimer, F., Calder, I. C., Elix, J. A., Gaoni, Y., Garratt, P. J., Grohman, K., di Maio, G., Mayer, J., Sargent, M. V., Wolovsky, R.: Chem. Soc. (London), Spec. Publ. 21, 75 (1967).

    Google Scholar 

  163. Bochvar, D. A., Tutkevich, A. V.: Izv. Akad. Nauk USSR, Ser. Khim. 1966, 756.

    Google Scholar 

  164. Bochvar, D. A., Stankevich, I. V., Tutkevich, A. V.: Izv. Akad. Nauk USSR, Ser. Khim. 1969, 1185.

    Google Scholar 

  165. Badger, G. M.: Aromatic character and aromaticity, Chap. 4. Cambridge: University Press 1969.

    Google Scholar 

  166. Some work is at present being carried out in our laboratory.

    Google Scholar 

  167. Gutman, I., Trinajstić, N.: Chem. Phys. Letters 17, 535 (1972), 20, 257 (1973).

    CAS  Google Scholar 

  168. Stepanov, N. F., Tatevskii, V. M.: Zh. Strakt. Khim. 2, 204, 452 (1961).

    CAS  Google Scholar 

  169. Tatevskii, V. M.: Zh. Fiz. Khim. 34, 241 (1960).

    CAS  Google Scholar 

  170. McClelland, B. J.: J. Chem. Phys. 54, 640 (1971).

    CAS  Google Scholar 

  171. Brown, R. D.: Trans. Faraday Soc. 46, 1013 (1950).

    CAS  Google Scholar 

  172. Sahini, V. E.: J. Chim. Phys. 59, 177 (1962); Rev. Chim., Acad. Rep. Populaire Roumaine 7, 1265 (1962); Rev. Chim. (Bucharest) 15, 551 (1964).

    CAS  Google Scholar 

  173. Hakala, R. W.: Intern. J. Quant. Chem. 1S, 187 (1967).

    Google Scholar 

  174. Balaban, A. T.: Rev. Roumaine Chim. 15, 1243 (1970).

    CAS  Google Scholar 

  175. Smith, W. B.: J. Chem. Educ. 48, 749 (1971).

    CAS  Google Scholar 

  176. Baird, N. C.: Can. J. Chem. 47, 3535 (1969); J. Chem. Educ. 48, 509 (1971).

    CAS  Google Scholar 

  177. Tatevskii, V. M.: Zh. Fiz. Khim. 25, 211 (1951).

    Google Scholar 

  178. Green, A. L.: J. Chem. Soc. 1956, 1886.

    Google Scholar 

  179. Wheland, G. W.: The theory of resonance and its application to organic chemistry. New York: Wiley 1953.

    Google Scholar 

  180. Pauling, L.: J. Chem. Phys. 1, 280 (1933).

    CAS  Google Scholar 

  181. Paining, L., Wheland, G. W.: J. Chem. Phys. 1, 362 (1933).

    Google Scholar 

  182. Pauling, L., Sherman, J.: J. Chem. Phys. 1, 679 (1933).

    CAS  Google Scholar 

  183. Rumer, G.: Göttingen. Nachr. 337 (1932).

    Google Scholar 

  184. Longuet-Higgins, H. C.: J. Chem. Phys. 18, 275, 283 (1950).

    CAS  Google Scholar 

  185. Heilbronner, E.: Helv. Chim. Acta 45, 1722 (1962).

    CAS  Google Scholar 

  186. Platt, J. R.: In: Encyclopedia of physics (ed. S. Flügge), Vol. 37, pp. 173. Berlin-Heidelberg-New York: Springer 1961.

    Google Scholar 

  187. Cvetković, D., Gutman, I., Trinajstić, N.: To be published.

    Google Scholar 

  188. Marcus, M., Mine, H.: Am. Math. Monthly 72, 577 (1965).

    Google Scholar 

  189. Schmidtke, H. H.: Coord. Chem. Rev. 2, 3 (1967).

    CAS  Google Scholar 

  190. Schmidtke, H. H.: Intern. J. Quant. Chem. 2S, 101 (1968).

    Google Scholar 

  191. Schmidtke, H. H.: J. Chem. Phys. 48, 970 (1968).

    CAS  Google Scholar 

  192. Kettle, S. F. A.: Theoret. Chim. Acta 3, 211 (1965); 4, 150 (1966).

    CAS  Google Scholar 

  193. Kettle, S. F. A., Tomlinson, V.: J. Chem. Soc. A 1969, 2002, 2007; Theoret. Chim. Acta 14, 175 (1969).

    Google Scholar 

  194. Rudolph, R. W., Pretzer, W. R.: Inorg. Chem. 11, 1974 (1972).

    CAS  Google Scholar 

  195. Gutman, I., Trinajstić, N.: to be published.

    Google Scholar 

  196. Stankevich, I. V.: Zh. Fiz. Khim. 42, 1876 (1968).

    CAS  Google Scholar 

  197. Stankevich, I. V.: Zh. Fiz. Khim. 43, 549, 556 (1969).

    CAS  Google Scholar 

  198. Stankevich, I. V.: Zh. Fiz. Khim. 44, 1540 (1970).

    CAS  Google Scholar 

  199. Stankevich, I. V.: Zh. Fiz. Khim. 46, 2463 (1972).

    CAS  Google Scholar 

  200. Graovac, A., Gutman, I., Trinajstić, N.: In preparation.

    Google Scholar 

  201. See also Brown, R. D.: J. Chem. Soc. 1953, 2615.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute “Rugjer Boškovic”, Zagreb, Croatia, Yugoslavia

    Dr. Ivan Gutman & Prof. Dr. Nenad Trinajstić

Authors
  1. Dr. Ivan Gutman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Prof. Dr. Nenad Trinajstić
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

Gutman, I., Trinajstić, N. (1973). Graph theory and molecular orbitals. In: New Concepts II. Topics in Current Chemistry Fortschritte der Chemischen Forschung, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06399-4_5

Download citation

  • DOI: https://doi.org/10.1007/3-540-06399-4_5

  • Received:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06399-5

  • Online ISBN: 978-3-540-37729-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation