Skip to main content
SpringerLink
Log in

Point-color-symmetric graphs with a prime number of vertices

  • Published:
Graphs and Combinatorics Aims and scope Submit manuscript

Abstract

We construct and enumerate all point-color-symmetric digraphs and graphs with a prime number of vertices. Our result unifies and generalizes the similar results for vertex transitive graphs and symmetric graphs.

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

Similar content being viewed by others

References

  1. Alspach, B.: Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree. J. Comb. Theory (B)15, 12–17 (1973)

    Google Scholar 

  2. Berggren, J.L.: An algebraic characterization of symmetric graphs withp points,p an odd prime. Bull. Austral. Math. Soc.7, 131–134 (1972)

    Google Scholar 

  3. Chao, C.Y.: On the classification of symmetric graphs with a prime number of vertices. Trans. Amer. Math. Soc.158, 247–256 (1971)

    Google Scholar 

  4. Chao, C.Y., Wells, J.G.: A class of vertex-transitive digraphs. J. Comb. Theory (B)14, 246–255 (1973)

    Google Scholar 

  5. Chen, C.C., Teh, H.H.: Constructions of point-color-symmetric graphs. J. Comb. Theory (B)27, 160–167 (1979)

    Google Scholar 

  6. Passman, D.S.: Permutation Groups. New York: W.A. Benjamin 1968

    Google Scholar 

  7. Pólya, G.: Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen. Acta Math.68, 145–254 (1937)

    Google Scholar 

  8. Turner, J.: Point-symmetric graphs with a prime number of points. J. Comb. Theory3, 136–145 (1967)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA

    Hong Zhang

Authors
  1. Hong Zhang
    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

Zhang, H. Point-color-symmetric graphs with a prime number of vertices. Graphs and Combinatorics 6, 297–302 (1990). https://doi.org/10.1007/BF01787581

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01787581

Keywords

Search

Navigation