Title : ( On cyclic graphs of finite semigroups )
Authors: M. Afkhami , Abbas Jafarzadeh , Kazem Khashyarmanesh , S. Mohammadikhah ,
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Abstract
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.
Keywords
Cyclic graph; semigroup; idempotent element
@article{paperid:1046465,
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 = {November},
issn = {0219-4988},
pages = {1450035--145003511},
numpages = {143553476},
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
