%0 Journal Article
%A Tehranian, Abolfazl
%A Maimani, Hamid Reza
%T A Study of the Total Graph
%J Iranian Journal of Mathematical Sciences and Informatics
%V 6
%N 2
%U http://ijmsi.ir/article-1-239-en.html
%R 10.7508/ijmsi.2011.02.008
%D 2011
%K Zero-divisor graph, Total graph.,
%X Let R be a commutative ring with $Z(R)$ its set of zero-divisors. In this paper, we study the total graph of $R$, denoted by $T(Gamma(R))$. It is the (undirected) graph with all elements of R as vertices, and for distinct $x, yin R$, the vertices $x$ and $y$ are adjacent if and only if $x + yinZ(R)$. We study the chromatic number and edge connectivity of this graph.
%> http://ijmsi.ir/article-1-239-en.pdf
%P 75-80
%& 75
%!
%9 Research paper
%L A-10-1-101
%+
%G eng
%@ 1735-4463
%[ 2011