Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2

In this work, we study zero-divisor graph of the ring Zpmq2 and give some properties of this graph. Furthermore we find Hosoya polynomial and Wiener index for this graph.

Bibliographic Details
Main Authors: Nazar H. Shuker, Husam Q. Mohammad, Luma A. Khaleel
Format: Article
Language:English
Published: Salahaddin University-Erbil 2019-05-01
Series:Zanco Journal of Pure and Applied Sciences
Subjects:
Online Access:https://zancojournals.su.edu.krd/index.php/JPAS/article/view/2863
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author Nazar H. Shuker
Husam Q. Mohammad
Luma A. Khaleel
author_facet Nazar H. Shuker
Husam Q. Mohammad
Luma A. Khaleel
author_sort Nazar H. Shuker
collection DOAJ
description In this work, we study zero-divisor graph of the ring Zpmq2 and give some properties of this graph. Furthermore we find Hosoya polynomial and Wiener index for this graph.
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language English
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publisher Salahaddin University-Erbil
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spelling doaj.art-f3f6cd1248e9405db7fd5a897939af482022-12-21T19:12:12ZengSalahaddin University-ErbilZanco Journal of Pure and Applied Sciences2218-02302412-39862019-05-0131s2455210.21271/zjpas.31.s2.6Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2Nazar H. Shuker0Husam Q. Mohammad1Luma A. Khaleel2Department of Mathematics/College of Computers Sciences and Math./ University of Mosul / Iraq.Department of Mathematics/College of Computers Sciences and Math./ University of Mosul / Iraq.Department of Mathematics./College of Education for Pure Science/University of Mosul / Iraq.In this work, we study zero-divisor graph of the ring Zpmq2 and give some properties of this graph. Furthermore we find Hosoya polynomial and Wiener index for this graph.https://zancojournals.su.edu.krd/index.php/JPAS/article/view/2863zero-divisor graphClique numberHosoya polynomialWiener index
spellingShingle Nazar H. Shuker
Husam Q. Mohammad
Luma A. Khaleel
Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2
Zanco Journal of Pure and Applied Sciences
zero-divisor graph
Clique number
Hosoya polynomial
Wiener index
title Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2
title_full Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2
title_fullStr Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2
title_full_unstemmed Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2
title_short Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2
title_sort hosoya and wiener index of zero divisor graph of z pm q2
topic zero-divisor graph
Clique number
Hosoya polynomial
Wiener index
url https://zancojournals.su.edu.krd/index.php/JPAS/article/view/2863
work_keys_str_mv AT nazarhshuker hosoyaandwienerindexofzerodivisorgraphofzpmq2
AT husamqmohammad hosoyaandwienerindexofzerodivisorgraphofzpmq2
AT lumaakhaleel hosoyaandwienerindexofzerodivisorgraphofzpmq2