Journal of Algebra and Its Applications, ( ISI ), Volume (13), No (7), Year (2014-5) , Pages (14500351-145003511)

Title : ( On cyclic graphs of finite semigroups )

Authors: M. Afkhami , Abbas Jafarzadeh , Kazem Khashyarmanesh , S. Mohammadikhah ,

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In this paper, we define and study the cyclic graph Γ_S of a finite semigroup S. We obtain some graph theoretical properties of Γ_S including its dominating number, independence number and genus of the graph. Then, we study the cyclic graphs ΓZn and ΓGLn(F), where Z_n is 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.


Cyclic graph; semigroup; idempotent
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author = {M. Afkhami and Jafarzadeh, Abbas and Khashyarmanesh, Kazem and S. Mohammadikhah},
title = {On cyclic graphs of finite semigroups},
journal = {Journal of Algebra and Its Applications},
year = {2014},
volume = {13},
number = {7},
month = {May},
issn = {0219-4988},
pages = {14500351--145003511},
numpages = {130503160},
keywords = {Cyclic graph; semigroup; idempotent element},


%0 Journal Article
%T On cyclic graphs of finite semigroups
%A M. Afkhami
%A Jafarzadeh, Abbas
%A Khashyarmanesh, Kazem
%A S. Mohammadikhah
%J Journal of Algebra and Its Applications
%@ 0219-4988
%D 2014