Skip to main content
SpringerLink
Log in

Arc-Transitive Cayley Graphs of Valency at Most Four on Abelian Groups

  • Original Articles
  • Published:
Southeast Asian Bulletin of Mathematics

Abstract

In this paper we give a complete classification for arc-transitive and one-regular Cayley graphs of valency at most four on finite abelian groups.

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

Author information

Authors and Affiliations

  1. Departmant of Mathematics, Temple University, Philadelphia, PA, 19122, U.S.A.

    Jing Xu

  2. Institute of Mathematics, Peking University, Beijing, 100871, People’s Republic of China

    Mingyao Xu

Authors
  1. Jing Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mingyao Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

AMS Subject Classifications: 05C25 20B25.

This work was supported by the National Natural Science Foundation of China (proj. no. 19831050) and the Doctoral Program Foundation of Institutions of Higher Education of China (proj. no. 97000141).

About this article

Cite this article

Xu, J., Xu, M. Arc-Transitive Cayley Graphs of Valency at Most Four on Abelian Groups. SEA bull. math. 25, 355–363 (2001). https://doi.org/10.1007/s10012-001-0355-z

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10012-001-0355-z

Keywords

Search

Navigation