On Cayley Graphs of Normal Bands

Xing Gao1, Wenwen Liu1, Yanfeng Luo1
1Department of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, PR China

Abstract

In this paper, we describe Cayley graphs of rectangular bands and normal bands, which are the strong semilattice of rectangular bands, respectively. In particular, we give the structure of Cayley graphs of rectangular bands and normal bands, and we determine which graphs are Cayley graphs of rectangular bands and normal bands.