دوره 6، شماره 2 - ( 8-1390 )
جلد 6 شماره 2 صفحات 80-75 |
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Tehranian A, Maimani H R. A Study of the Total Graph. IJMSI 2011; 6 (2) :75-80
URL: http://ijmsi.ir/article-1-239-fa.html
URL: http://ijmsi.ir/article-1-239-fa.html
A Study of the Total Graph. مجله علوم ریاضی و انفورماتیک. 1390; 6 (2) :75-80
چکیده:
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.
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