The Zero Divisor Graph of the Ring Z_(2^2 p)

In this paper, we consider the crossing number and the chromatic number of the zero divisor graph Γ(Z_(2^2 p)) to show that this type of zero divisor graphs is bipartite graph, and the smallest cycle in Γ(Z_(2^2 p)) is of length four this implies that the girth is equal four.

Bibliographic Details
Main Authors: Nazar H. Shuker, Payman A. Rashed
Format: Article
Language:English
Published: Koya University 2016-12-01
Series:ARO-The Scientific Journal of Koya University
Subjects:
Online Access:http://aro.koyauniversity.org/article/view/190