TY - JOUR
T1 - On the Zero-divisor Cayley Graph of a Finite Commutative Ring
TT -
JF - IJMSI
JO - IJMSI
VL - 12
IS - 1
UR - http://ijmsi.ir/article-1-632-en.html
Y1 - 2017
SP - 95
EP - 106
KW - Connectivity
KW - diameter
KW - girth
KW - planar graph
KW - clique.
N2 - Let R be a fnite commutative ring and N(R) be the set of non unit elements of R. The non unit graph of R, denoted by Gamma(R), is the graph obtained by setting all the elements of N(R) to be the vertices and defning distinct vertices x and y to be adjacent if and only if x - yin N(R). In this paper, the basic properties of Gamma(R) are investigated and some characterization results regarding connectedness, girth and planarity of Gamma(R) are given.
M3 DOI: 10.7508/ijmsi.2017.01.008
ER -