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Cut vertices in zero-divisor graphs of finite commutative rings
Journal article

Cut vertices in zero-divisor graphs of finite commutative rings

Michael Axtell, Nicholas R. Baeth and Joe Stickles
Communications in Algebra, Vol.39(6), pp.2179-2188
06/21/2011

Abstract

commutative ring cut vertex zero-divisor graph Mathematics

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.

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