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LOCALLY PRIMITIVE GRAPHS AND BIDIRECT PRODUCTS OF GRAPHS

Part of: Permutation groups

Published online by Cambridge University Press:  14 October 2011

CAI HENG LI  and
LI MA
CAI HENG LI*
Affiliation:
School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, PR China School of Mathematics and Statistics, The University of Western Australia, Crawley WA 6009, Australia (email: cai.heng.li@uwa.edu.au)
LI MA
Affiliation:
School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, PR China (email: marysunjay@yahoo.com.cn)
*
✉For correspondence; e-mail: cai.heng.li@uwa.edu.au
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Abstract

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We characterise regular bipartite locally primitive graphs of order 2pe, where p is prime. We show that either p=2 (this case is known by previous work), or the graph is a binormal Cayley graph or a normal cover of one of the basic locally primitive graphs; these are described in detail.

Keywords

locally primitive graphsCayley graphsbidirect product of graphs

MSC classification

Secondary: 20B25: Finite automorphism groups of algebraic, geometric, or combinatorial structures
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 91 , Issue 2 , October 2011 , pp. 231 - 242
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

This work forms part of the PhD project of the second-named author, partially supported by an NNSF(K1020261), and an ARC Discovery Grant.

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