On Isomorphisms of Vertex-transitive Graphs
Combinatorics
2016-03-29 v2 Group Theory
Abstract
The isomorphism problem of Cayley graphs has been well studied in the literature, such as characterizations of CI (DCI)-graphs and CI (DCI)-groups. In this paper, we generalize these to vertex-transitive graphs and establish parallel results. Some interesting vertex-transitive graphs are given, including a first example of connected symmetric non-Cayley non-GI-graph. Also, we initiate the study for GI and DGI-groups, defined analogously to the concept of CI and DCI-groups.
Cite
@article{arxiv.1602.07501,
title = {On Isomorphisms of Vertex-transitive Graphs},
author = {Jing Chen and Binzhou Xia},
journal= {arXiv preprint arXiv:1602.07501},
year = {2016}
}