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A Characterization of Bipartite Zero-divisor Graphs

  Published:2013-06-21
 Printed: Mar 2014
  • Nader Jafari Rad,
    Department of Mathematics, Shahrood University of Technology, Shahrood, Iran
  • Sayyed Heidar Jafari,
    Department of Mathematics, Shahrood University of Technology, Shahrood, Iran
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Abstract

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 $|Nil(R)|\neq2$.
Keywords: zero-divisor graph, bipartite graph zero-divisor graph, bipartite graph
MSC Classifications: 13AXX, 05C25 show english descriptions unknown classification 13AXX
Graphs and abstract algebra (groups, rings, fields, etc.) [See also 20F65]
13AXX - unknown classification 13AXX
05C25 - Graphs and abstract algebra (groups, rings, fields, etc.) [See also 20F65]
 

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