The Zero Divisor Graph of the Ring Z_(2^2 p)

  • Nazar H. Shuker Department of Mathematic, College of Computer Sciences and Mathematic, University of Mosul, Mosul
  • Payman A. Rashed Department of Mathematic, College of Basic Education, University of Salahaddin, Erbil, Kurdistan Region
Keywords: Bipartite graph, crossing number, girth, planar graph, zero divisor graph of the ring Z_(2^2 p).

Abstract

In this paper, we consider the crossing number and the chromatic number of the zero divisor graph Γ(Z_(2^2 p)) to show that this type of zero divisor graphs is bipartite graph, and the smallest cycle in Γ(Z_(2^2 p)) is of length four this implies that the girth is equal four.

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References

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Published
2016-12-23
How to Cite
Shuker, N. H. and Rashed, P. A. (2016) “The Zero Divisor Graph of the Ring Z_(2^2 p)”, ARO-THE SCIENTIFIC JOURNAL OF KOYA UNIVERSITY, 4(2), pp. 47-50. doi: 10.14500/aro.10058.
Section
Articles