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Critically and minimally n-connected graphs

Part of the Lecture Notes in Mathematics book series (LNM,volume 110)

Keywords

  • Minimum Degree
  • Disjoint Path
  • Critical Graph
  • Minimal Graph
  • Minimal Block

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References

  1. G. Chartrand, A graph-theoretic approach to a communications problem, J. SIAM Appl. Math., 14 (1966), 118–181.

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  2. G. Chartrand and F. Harary, Graphs with prescribed connectivites, Theory of Graphs, Proceedings of the Colloquium Held at Tihany Hungary, 1968, 61–63.

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  3. G. Chartrand, A. Kaugars, and D.R. Lick, Critically n-connected graphs, submitted for publication.

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  4. G.A. Dirac, Minimally 2-connected graphs, J. Reine Angew. Math., 228 (1967), 204–216.

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  5. F. Harary, Graph Theory, Addison-Wesley, 1969.

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  6. R. Halin, A theorem on n-connected graphs, J. Combinatorial Theory, to appear.

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  7. A. Kaugars, A Theorem on the Removal of Vertices from Blocks, Senior Thesis, Kalamazoo College, 1968.

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  8. D.R. Lick, Connectivity preserving subgraphs, Mathematical Report No. 1, Western Michigan University, July 1968.

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  9. D.R. Lick, Edge connectivity preserving subgraphs, Mathematical Report No. 7, Western Michigan University, September 1968.

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  10. M.D. Plummer, On minimal blocks, Trans. Amer. Math. Soc., 134 (1968), 85–94.

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  11. H. Whitney, Congruent graphs and the connectivity of graphs, Amer. J. Math., 54 (1932), 150–168.

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© 1969 Springer-Verlag

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Don Lick, R. (1969). Critically and minimally n-connected graphs. In: Chartrand, G., Kapoor, S.F. (eds) The Many Facets of Graph Theory. Lecture Notes in Mathematics, vol 110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060118

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  • DOI: https://doi.org/10.1007/BFb0060118

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04629-5

  • Online ISBN: 978-3-540-36161-9

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