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Characterizations of different line graphs of graphs

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Part of the Lecture Notes in Mathematics book series (LNM,volume 952)

Keywords

  • Complete Graph
  • Line Graph
  • Simple Graph
  • General Graph
  • Subgraph Isomorphic

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References

  1. L.W. Beineke, On derived graphs and digraphs, in Beiträge zur Graphentheorie (H. Sachs, H.J. Voss, and H. Walther, eds.) Teubner, Leipzig, 1968, 17–23.

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  2. J.C. Bermond and J.C. Meyer, Graphe représentatif des arêtes d'un multigraphe, J. Math. Pures Appl. 52 (1973) 229–308.

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  3. R.L. Hemminger, Characterizations of the line graph of a multigraph (unpublished).

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  4. H. Izbicki, Graphentransformationen, Monatsh. Math. 64 (1960) 135–175.

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  5. J. Krausz, Démonstration nouvelle d'un théorème de Whitney sur les réseaux (Hungarian, French summary), Mat. Fiz. Lapok 50 (1943) 75–85.

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  6. A. Marczyk and Z. Skupień, Characterizing line graphs of general graphs, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys. 22 (1974) 235–241.

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  7. V.V. Menon, The isomorphism between graphs and their adjoint graphs, Canad. Math. Bull. 8 (1965) 7–15.

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  8. B.L. Schwartz, Infinite self-interchange graphs, Pacific J. Math. 31 (1969) 497–504.

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© 1982 Springer-Verlag

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Marczyk, A., Skupień, Z. (1982). Characterizations of different line graphs of graphs. In: Billington, E.J., Oates-Williams, S., Street, A.P. (eds) Combinatorial Mathematics IX. Lecture Notes in Mathematics, vol 952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061990

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  • DOI: https://doi.org/10.1007/BFb0061990

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11601-1

  • Online ISBN: 978-3-540-39375-7

  • eBook Packages: Springer Book Archive