On cyclic graphs of finite semigroups-Reference-Cited by-同舟云学术

On cyclic graphs of finite semigroups

Published:2014-05-02 Issue:07 Volume:13 Page:1450035
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Afkhami M.¹,Jafarzadeh A.²,Khashyarmanesh K.²,Mohammadikhah S.²

Affiliation:

1. Department of Mathematics, University of Neyshabur, P. O. Box 91136-899, Neyshabur, Iran

2. Department of Pure Mathematics, International Campus of Ferdowsi, University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran

Abstract

In this paper, we define and study the cyclic graph ΓSof a finite semigroup S. We obtain some graph theoretical properties of ΓSincluding its dominating number, independence number and genus of the graph. Then, we study the cyclic graphs Γℤnand ΓGLn(F), where ℤnis the semigroup under multiplicative operation and GLn(F) is the set of all n × n invertible matrices over a finite field F with multiplicative operation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498814500352

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