Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2015; 52(4): 1169-1183

Printed July 31, 2015

https://doi.org/10.4134/BKMS.2015.52.4.1169

Copyright © The Korean Mathematical Society.

Generalized Cayley graphs of rectangular groups

Yongwen Zhu

Yantai University

Abstract

We describe generalized Cayley graphs of rectangular groups, so that we obtain (1) an equivalent condition for two Cayley graphs of a rectangular group to be isomorphic to each other, (2) a necessary and sufficient condition for a generalized Cayley graph of a rectangular group to be (strong) connected, (3) a necessary and sufficient condition for the colour-preserving automorphism group of such a graph to be vertex-transitive, and (4) a sufficient condition for the automorphism group of such a graph to be vertex-transitive.

Keywords: generalized Cayley graph of semigroups, rectangular group, connected graph, isomorphism, colour-preserving automorphism, vertex-transitive

MSC numbers: 05C25, 20B25, 08B15, 20M17

Stats or Metrics

Share this article on :

Related articles in BKMS

more +