Skip to main content

Characterizations of different line graphs of graphs

  • Contributed Papers
  • Conference paper
  • First Online:
Combinatorial Mathematics IX

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

  • 330 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

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 R.L. Hemminger, Characterizations of the line graph of a multigraph (unpublished).

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  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.

    MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Elizabeth J. Billington Sheila Oates-Williams Anne Penfold Street

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11601-1

  • Online ISBN: 978-3-540-39375-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics