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Ars Combinatoria

  • Research article

On Transitive Cayley Graphs of Strong Semilattices of Rectangular Groups

Yifei Hao1, Xiaomei Yang2, Niqianjun Jin3
1Research Center for International Business and Economy, Sichuan International Studies University, Chongqing 400031, P.R. China
2 College of Maths, Southwest Jiaotong University, Chengdu 610031, P.R. China
3 College of Economics and Management, Southwest University, Chongqing 400715, P.R. China
  • Published: 31/07/2012

Abstract

In this paper, we investigate the transitive Cayley graphs of strong semilattices of rectangular groups, and of normal bands, respectively. We show under which conditions they enjoy the property of automorphism vertex transitivity in analogy to Cayley graphs of groups.

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Citation
Yifei Hao, Xiaomei Yang, Niqianjun Jin. On Transitive Cayley Graphs of Strong Semilattices of Rectangular Groups[J], Ars Combinatoria, Volume 105. 183-192. .