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Communications in Algebra Volume 40, 2012 - Issue 5
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Original Articles

The Complement Graph for Gaussian Integers Modulo n

Emad Ahmed Abu Osba Mathematics Department, University of Jordan, Amman, JordanCorrespondence[email protected]
Pages 1886-1892 | Received 02 Dec 2010, Published online: 15 May 2012
 
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Abstract

This article is a continuation for the work done in [Citation1, Citation2] 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.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENT

This research was done while the author was at the University of Petra on sabbatical leave given by the University of Jordan in the academic year 2010-2011.

Notes

Communicated by I. Swanson.

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