The Zero Divisor Graph of the Ring Zqp.

Authors

  • Nazar H. Shuker University of Mosul
  • Payman A. Rashed University of Salahaddin

Keywords:

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.

Author Biographies

Nazar H. Shuker, University of Mosul

College of computer Science and Mathematics, University of Mosul, Iraq.

Payman A. Rashed, University of Salahaddin

College of Basic Education, University of Salahaddin, Kurdistan region – Iraq.

References

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Published

2015-09-30

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. Retrieved from https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/170

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Section

Science Journal of University of Zakho