Prime-valent one-regular graphs of order 28p

Authors

  • De-Xue Li Henan Polytechnic Institute
  • Song-Tao Guo Henan University - School of Mathematics and Statistics

Keywords:

symmetric graph, arc-transitive graph, one-regular graph

Abstract

A graph is one-regular if its full automorphism group acts on its arcs regularly. In this paper, we classify connected one-regular graphs of prime valency and order 28p for each prime p, and prove that there is only one sporadic graph: the Z7-cover CQ7 of the three dimensional hypercube Q3 with valency 3. 

Cover of n°53 Italian Journal of Pure and Applied Mathematics

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Published

2025-05-19

How to Cite

Li, D.-X., & Guo, S.-T. (2025). Prime-valent one-regular graphs of order 28p. Italian Journal of Pure and Applied Mathematics, 53, 129–137. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5760

Issue

N°53 - May 2025

Section

Articoli - Forum Editrice

License

Copyright (c) 2025 De-Xue Li, Song-Tao Guo

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)