fifth international group theory conference , 2013-03-13

Title : ( Generalized Cayley graphs of semigroups )

Authors: khosro nafar , مژگان افخمی گلی , Kazem Khashyarmanesh ,

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Let R be a commutative ring with non-zero identity. For a natural number n we associate a simple graph denoted by ‎ T^nR with R^n-{0} as the vertex set and two distinct verticesX and Y in R^n are adjacent if and only if there exists‎ an nxn lover triangular matrix over R whose entries on the main diagonal are non-zero such that AX^T=Y^T or‎ AY^T=X^T. When we consider the ring R with multiplication as a semigroup, the T^1R is the usual undirected cayley graph. In this note we study some basic properties of T^nR.

Keywords

, Cayley graph ,
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@inproceedings{paperid:1040104,
author = {Nafar, Khosro and مژگان افخمی گلی and Khashyarmanesh, Kazem},
title = {Generalized Cayley graphs of semigroups},
booktitle = {fifth international group theory conference},
year = {2013},
location = {مشهد, IRAN},
keywords = {Cayley graph ; semigroup},
}

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%0 Conference Proceedings
%T Generalized Cayley graphs of semigroups
%A Nafar, Khosro
%A مژگان افخمی گلی
%A Khashyarmanesh, Kazem
%J fifth international group theory conference
%D 2013

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