Year: 2010
Author: Shangdi Chen, Qinglin Feng
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 239–254
Abstract
All graphs are finite simple undirected and of no isolated vertices in this paper. Using the theory of coset graphs and permutation groups, it is completed that a classification of locally transitive graphs admitting a non-Abelian group with cyclic Sylow subgroups. They are either the union of the family of arc-transitive graphs, or the union of the family of bipartite edge-transitive graphs.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19159
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 239–254
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: graph locally-transitive-graph Sylow subgroup cyclic group.