Hosoya Polynomial, Wiener Index, Coloring and Planar of Annihilator Graph of Zn | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 4, Volume 14, Issue 2, December 2020, Pages 41-52 PDF (1.02 M) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2020.167337 | ||
| Authors | ||
| Mohammed S. Ahmed* 1; Akram Mohammed2; Nabeel E. Arif2 | ||
| 1Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq | ||
| 2Department of Mathematics, College of Computer Science and Mathematics, University of Tikrit, Tikrit, Iraq | ||
| Abstract | ||
| Let R be a commutative ring with identity. We consider ΓB(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 ΓB(Zn) , with n= pm or n=pmq, where p, q are distinct prime numbers and m is an integer with m ≥ 1 . | ||
| Keywords | ||
| Annihilator graph of ring; Zero-divisor graph; Hosoya polynomial; Wiener index; coloring graph and planar graph | ||
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