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A Characterization of Bipartite Zero-divisor Graphs

Published online by Cambridge University Press:  20 November 2018

Nader Jafari Rad  and
Sayyed Heidar Jafari
Nader Jafari Rad
Affiliation:
Department of Mathematics, Shahrood University of Technology, Shahrood, Iran e-mail: n.jafarirad@gmail.comshjafari55@gmail.com
Sayyed Heidar Jafari
Affiliation:
Department of Mathematics, Shahrood University of Technology, Shahrood, Iran e-mail: n.jafarirad@gmail.comshjafari55@gmail.com
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Abstract

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In this paper we obtain a characterization for all bipartite zero-divisor graphs of commutative rings $R$ with 1 such that $R$ is finite or $\left| \text{Nil}\left( R \right) \right|\,\ne \,2$.

Keywords

13AXX05C25zero-divisor graphbipartite graph
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 1 , 14 March 2014 , pp. 188 - 193
Copyright
Copyright © Canadian Mathematical Society 2014

References

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