Journal of Algebra and Its Applications, ( ISI ), Volume (11), No (6), Year (2012-1) , Pages (12501031-12501039)

Title : ( ‎Planar‎, ‎outerplanar‎, ‎and ring graph of the cozero-divisor graph of a finite commutative ring )

Authors: M. Afkhami , Kazem Khashyarmanesh ,

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‎Let R be a commutative ring with non-zero identity‎. ‎The‎ ‎cozero-divisor graph of R, ‎denoted by \Gamma'(R), ‎is a graph‎ ‎with vertex-set W^*(R), ‎which is the set of all non-zero and‎ ‎non-unit elements of R, ‎and two distinct vertices a and b in‎ W^*(R) are adjacent if and only if a\notin Rb and b\notin‎ ‎Ra. ‎In this paper‎, ‎we characterize all finite commutative rings‎ R such that \Gamma'(R) is planar‎, ‎outerplanar or ring graph‎.

Keywords

, Outerplanarity, Cozero-divisor graph‎, ‎Ring graph‎,
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@article{paperid:1033833,
author = {M. Afkhami and Khashyarmanesh, Kazem},
title = {‎Planar‎, ‎outerplanar‎, ‎and ring graph of the cozero-divisor graph of a finite commutative ring},
journal = {Journal of Algebra and Its Applications},
year = {2012},
volume = {11},
number = {6},
month = {January},
issn = {0219-4988},
pages = {12501031--12501039},
numpages = {8},
keywords = {Outerplanarity;Cozero-divisor graph‎; ‎Ring graph‎; ‎Planarity‎},
}

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%0 Journal Article
%T ‎Planar‎, ‎outerplanar‎, ‎and ring graph of the cozero-divisor graph of a finite commutative ring
%A M. Afkhami
%A Khashyarmanesh, Kazem
%J Journal of Algebra and Its Applications
%@ 0219-4988
%D 2012

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