AU - Tehranian, Abolfazl
AU - Maimani, Hamid Reza
TI - A Study of the Total Graph
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 6
VI - 2
IP - 2
4099 - http://ijmsi.ir/article-1-239-en.html
4100 - http://ijmsi.ir/article-1-239-en.pdf
SO - IJMSI 2
ABĀ - 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.
CP - IRAN
IN -
LG - eng
PB - IJMSI
PG - 75
PT - Research paper
YR - 2011