On the planarity of the k-zero-divisor hypergraphs

Let R be a commutative ring with identity and let Z(R,k) be the set of all k-zero-divisors in R and k>2 an integer. The k-zero-divisor hypergraph of R, denoted by Hk(R), is a hypergraph with vertex set Z(R,k), and for distinct element x1,x2,…,xk in Z(R,k), the set {x1,x2,…,xk} is an edge of Hk(R)...

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Bibliographic Details
Main Authors: T. Tamizh Chelvam, K. Selvakumar, V. Ramanathan
Format: Article
Language:English
Published: Taylor & Francis Group 2015-11-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860015000389