Title

Cut vertices in zero-divisor graphs of finite commutative rings

Department/School

Mathematics

Date

6-21-2011

Document Type

Article

Keywords

commutative ring, cut vertex, zero-divisor graph

Abstract

A cut vertex of a connected graph is a vertex whose removal would result in a graph having two or more connected components. We examine the presence of cut vertices in zero-divisor graphs of finite commutative rings and provide a partial classification of the rings in which they appear.

Volume

39

Issue

6

Published in

Communications in Algebra

Citation/Other Information

Axtell, M., Baeth, N., & Stickles, J. (2011) Cut vertices in zero-divisor graphs of finite commutative rings. Communications in Algebra, 39(6), 2179-2188. https://doi.org/10.1080/00927872.2010.488681

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