On prime-valent symmetric graphs of square-free order

Authors

  • Jiangmin Pan
  • Bo Ling
  • Suyun Ding

DOI:

https://doi.org/10.26493/1855-3974.1161.3b9

Keywords:

Symmetric graph, normal quotient graph, automorphism group

Abstract

Symmetric graphs of valencies 3, 4 and 5 and square-free order have been classified in the literature. In this paper, we will present a complete classification of symmetric graphs of square-free order and any prime valency which admit a soluble arc-transitive group, and a complete classification of 7-valent symmetric graphs of square-free order.

Published

2017-11-10

Issue

Section

Articles