Title : ( A generalization of the unit and unitary Cayley graphs of a commutative ring )
Authors: Kazem Khashyarmanesh , Mahdi Reza Khorsandi ,
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Abstract
Let R be a commutative ring with non-zero identity and G be a multiplicative subgroup of U(R), where U(R) is the multiplicative group of unit elements of R. Also, suppose that S is a non-empty subset of G such that S=1 Then we define G(R,G, S) to be the graph with vertex set R and two distinct elements x, y R are adjacent if and only if there exists s such that x + sy This graph provides a generalization of the unit and unitary Cayley graphs.
Keywords
, Unit Graphs , Unitary Cayley Graphs
@article{paperid:1033835,
author = {Khashyarmanesh, Kazem and Khorsandi, Mahdi Reza},
title = {A generalization of the unit and unitary Cayley graphs of a commutative ring},
journal = {Acta Mathematica Hungarica},
year = {2012},
volume = {137},
number = {4},
month = {January},
issn = {0236-5294},
pages = {242--253},
numpages = {11},
keywords = {Unit Graphs - Unitary Cayley Graphs},
}
%0 Journal Article
%T A generalization of the unit and unitary Cayley graphs of a commutative ring
%A Khashyarmanesh, Kazem
%A Khorsandi, Mahdi Reza
%J Acta Mathematica Hungarica
%@ 0236-5294
%D 2012
