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The Complement Graph for Gaussian Integers Modulo n
Authors:Emad Ahmed Abu Osba
Institution:1. Mathematics Department , University of Jordan , Amman , Jordan eabuosba@ju.edu.jo
Abstract:This article is a continuation for the work done in 1 Abu Osba , E. , Al-Addasi , S. , Abu Jaradeh , N. ( 2008 ). Zero divisor graph for the ring of Gaussian integers modulo . n. Comm. Algebra 36 ( 10 ): 38653877 .Taylor &; Francis Online], Web of Science ®] Google Scholar], 2 Abu Osba , E. , Al-Addasi , S. , Al-Khamaiseh , B. ( 2011 ). Some properties of the zero divisor graph for the ring of gaussian integers modulo . n. Glasgow Journal of Mathematics 53 : 391399 .Crossref], Web of Science ®] Google Scholar]] on the zero divisor graph for the ring of Gaussian integers modulo n. It investigates when the complement graph of the zero divisor graph for the Gaussian integers modulo n connected, planar, regular, or Eulerian. The girth and diameter were also studied.
Keywords:Diameter  Eulerian graph  Gaussian integers  Girth  Graph  Planar graph  Zero divisor graph
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