TY - JOUR
T1 - A Study of the Total Graph
TT -
JF - IJMSI
JO - IJMSI
VL - 6
IS - 2
UR - http://ijmsi.ir/article-1-239-en.html
Y1 - 2011
SP - 75
EP - 80
KW - Zero-divisor graph
KW - Total graph.
N2 - 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.
M3 10.7508/ijmsi.2011.02.008
ER -