On 2-arc-transitive graphs of product action type
Combinatorics
2022-11-10 v1 Group Theory
Abstract
In this paper, we discuss the structural information about 2-arc-transitive (non-bipartite and bipartite) graphs of product action type. It is proved that a 2-arc-transitive graph of product action type requires certain restrictions on either the vertex-stabilizers or the valency. Based on the existence of some equidistant linear codes, a construction is given for 2-arc-transitive graphs of non-diagonal product action type, which produces several families of such graphs. Besides, a nontrivial construction is given for 2-arc-transitive bipartite graphs of diagonal product action type
Keywords
Cite
@article{arxiv.2211.04848,
title = {On 2-arc-transitive graphs of product action type},
author = {Zai Ping Lu},
journal= {arXiv preprint arXiv:2211.04848},
year = {2022}
}
Comments
18 pages