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.
Yongwen Zhu
Yantai University
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
2013; 50(5): 1481-1494
2003; 40(4): 545-551
2008; 45(1): 111-118
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd