The Zero Divisor Graph of the Ring Zqp.
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Submitted
September 25, 2018
Published
September 30, 2015
Keywords:
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Commutative rings, zero divisor graphs, star zero divisor graph, crossing number, girth of the graph
Abstract
In this paper we construct a star zero divisor graph from the zero divisor graph of the ring Zqp. The star zero divisor graph is obtained by removing some vertices from the zero divisor graph Γ(Zqp), in different ways , but the best way to get star zero divisor graph SΓ(Zqp) is by removing an odd number of zero divisors. Finally the crossing number, the girth and the diameter of this graph is also determined.
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Authors
Shuker, N. H., & Rashed, P. A. (2015). The Zero Divisor Graph of the Ring Zqp. Science Journal of University of Zakho, 3(2), 281-290. https://www.sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/170
Copyright (c) 2015 Nazar H. Shuker, Payman A. Rashed
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How to Cite
Shuker, N. H., & Rashed, P. A. (2015). The Zero Divisor Graph of the Ring Zqp. Science Journal of University of Zakho, 3(2), 281-290. https://www.sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/170