Hosoya Polynomial, Wiener Index, Coloring and Planar of Annihilator Graph of Zn

Section: Research Paper
Issue
Vol. 14 No. 2 (2020): Volume 14 Issue 2
Published
Jun 25, 2025
Pages
41-52

Abstract

Let R be a commutative ring with identity. We consider B(R)an annihilator graph of the commutative ring R. In this paper, we find Hosoya polynomial, Wiener index, Coloring, and Planar annihilator graph of Zn denote B(Zn) , with n= pm orn=pmq, where p, q are distinct prime numbers and m is an integer with m 1 .

Authors

Mohammed S. Ahmed

Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq

Akram Mohammed

Department of Mathematics, College of Computer Science and Mathematics, University of Tikrit, Tikrit, Iraq

Nabeel E. Arif

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How to Cite

S. Ahmed, M., محمد, Mohammed, A., أکرم, E. Arif, N., & نبیل. (2025). Hosoya Polynomial, Wiener Index, Coloring and Planar of Annihilator Graph of Zn. AL-Rafidain Journal of Computer Sciences and Mathematics, 14(2), 41–52. Retrieved from https://rjps.uomosul.edu.iq/index.php/csmj/article/view/19722