Skip to main content
SpringerLink
Log in

Some remarks on the chromatic index of a graph

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. L. W.Beineke and R. J.Wilson, On the edge-chromatic number of a graph. To appear in Discrete Mathematics.

  2. C.Berge, Theorie des graphes et ses applications. Paris 1958.

  3. C.Berge, Graphes et hypergraphes. Paris 1970.

  4. G. A. Dirac, On the structure of 5- and 6-chromatic abstract graphs. J. reine angew. Math.214/215, 43–52 (1964).

    Google Scholar 

  5. G. Hajós, Über eine Konstruktion nichtn-färbbarer Graphen. Wiss. Z. Martin Luther Univ., Halle-Wittenberg A10, 116–117 (1961).

    Google Scholar 

  6. F.Harary, Graph Theory. Reading 1969.

  7. D.König, Theorie der endlichen und unendlichen Graphen. Leipzig 1936; reprinted New York 1950.

  8. L. S. Mel'nikov, Chromatic class and the location of a graph on a closed surface (Russian). Mat. Zametki7, 671–681 (1970). English translation in Math. Notes7, 405–411 (1970).

    Google Scholar 

  9. O.Ore, The Four-Color Problem. New York-London 1967.

  10. V. G. Vizing, On an estimate of the chromatic class of ap-graph (Russian). Diskret. Analiz3, 25–30 (1964).

    Google Scholar 

  11. V. G. Vizing, Critical graphs with a given chromatic class (Russian). Diskret. Analiz5, 9–17 (1965).

    Google Scholar 

  12. V. G. Vizing, The chromatic class of a multigraph (Russian). Kibernetika (Kiev)1965, No.3, 29–39. English translation in Cybernetics1965, No.3, 32–41.

    Google Scholar 

  13. V. G. Vizing, Some unsolved problems in graph theory (Russian). Uspehi Mat. Nauk23, 117–134 (1968). English translation in Russian Math. Surveys23, 125–142 (1968).

    Google Scholar 

Download references

Author information

Author notes

  1. Ivan Tafteberg Jakobsen

    Present address: Matematisk Institut, Aarhus Universitet, 8000, Aarhus C, Danmark

Authors and Affiliations

    Authors
    1. Ivan Tafteberg Jakobsen
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Jakobsen, I.T. Some remarks on the chromatic index of a graph. Arch. Math 24, 440–448 (1973). https://doi.org/10.1007/BF01228237

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01228237

    Keywords

    Search

    Navigation