RT - Journal Article
T1 - On the Zero-divisor Cayley Graph of a Finite Commutative Ring
JF - IJMSI
YR - 2017
JO - IJMSI
VO - 12
IS - 1
UR - http://ijmsi.ir/article-1-632-en.html
SP - 95
EP - 106
K1 - Connectivity
K1 - diameter
K1 - girth
K1 - planar graph
K1 - clique.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-632-en.html
M3 DOI: 10.7508/ijmsi.2017.01.008
ER -