International Journal of Mathematics and Mathematical Sciences

Volume 2007, Article ID 50875, 15 pages

http://dx.doi.org/10.1155/2007/50875

## The k -Zero-Divisor Hypergraph of a Commutative Ring

^{1}Department of Mathematical Sciences, Shahid Beheshti University, P.O. Box 19834, Tehran, Iran^{2}School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran

Received 28 June 2006; Revised 15 October 2006; Accepted 27 February 2007

Academic Editor: Dalibor Froncek

Copyright © 2007 Ch. Eslahchi and A. M. Rahimi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

The concept of the zero-divisor graph of a commutative ring has been studied by many authors, and the