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.
Published in
Communications in Algebra
COinS
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