%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