Title : ( Projective total graphs of commutative rings )
Authors: Kazem Khashyarmanesh , Mahdi Reza Khorsandi ,
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Abstract
Let T(Γ(R)) be the total graph of a commutative ring R, that is, a graph with all elements of R as vertices and two distinct vertices a and b are adjacent if and only if a+b is a zero-divisor on R. In this paper, we classify all finite rings R whose total graphs T(Γ(R)) are projective.
Keywords
, Total graph, projective graph, crosscap number, zero-divisor graph.
@article{paperid:1040025,
author = {Khashyarmanesh, Kazem and Khorsandi, Mahdi Reza},
title = {Projective total graphs of commutative rings},
journal = {Rocky Mountain Journal of Mathematics},
year = {2013},
volume = {43},
number = {4},
month = {December},
issn = {0035-7596},
pages = {1207--1213},
numpages = {6},
keywords = {Total graph; projective graph; crosscap number; zero-divisor graph.},
}
%0 Journal Article
%T Projective total graphs of commutative rings
%A Khashyarmanesh, Kazem
%A Khorsandi, Mahdi Reza
%J Rocky Mountain Journal of Mathematics
%@ 0035-7596
%D 2013
