Title : ( Planar, outerplanar and ring graph cozero-divisor graph )
Authors: M.Afkhami , Mohammad Farrokhi Derakhshandeh Ghouchan , Kazem Khashyarmanesh ,
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Abstract
Ler R be a commutative ring with non-zero identity. The cozero-divisor graph of R denoted by \gama'(R) is a graph with vertex-set W*(R) which is the set of all non-zero non-unite elements of R and two distinct vertices a and b in W*(R) are adjacent if and only if a not in RB and b not in RA where for C in R RC is the ideal generated by c. In this paper we completely determine all finite commutative rings R such that \gama'(R) is planar, outerplanar and ring gragh.
Keywords
, cozero-divisor graph, planarity
@article{paperid:1067047,
author = {M.Afkhami and Farrokhi Derakhshandeh Ghouchan, Mohammad and Khashyarmanesh, Kazem},
title = {Planar, outerplanar and ring graph cozero-divisor graph},
journal = {Ars Combinatoria},
year = {2017},
volume = {131},
number = {1},
month = {April},
issn = {0381-7032},
pages = {395--406},
numpages = {11},
keywords = {cozero-divisor graph; planarity},
}
%0 Journal Article
%T Planar, outerplanar and ring graph cozero-divisor graph
%A M.Afkhami
%A Farrokhi Derakhshandeh Ghouchan, Mohammad
%A Khashyarmanesh, Kazem
%J Ars Combinatoria
%@ 0381-7032
%D 2017
