Weiner Polynomials to Generalize the Distance of Some Composite Graphs from Special Graphs

It is not easy to find the Wiener polynomials for generalized distance of  compound graphs constructed in the form and  for any two disjoint connected graphs and .Therefore, in this paper, we obtain Wiener polynomials for generalized distance of and  when and  are special graphs such as complete gra...

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Main Authors: Ali Ali, Ahmed Ali
Format: Article
Language:English
Published: Mosul University 2008-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163984_273b66671f7b816ad94f1f1966048605.pdf
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author Ali Ali
Ahmed Ali
author_facet Ali Ali
Ahmed Ali
author_sort Ali Ali
collection DOAJ
description It is not easy to find the Wiener polynomials for generalized distance of  compound graphs constructed in the form and  for any two disjoint connected graphs and .Therefore, in this paper, we obtain Wiener polynomials for generalized distance of and  when and  are special graphs such as complete graphs, and stars. The Wiener index of each such graph with respect to the generalized distance is also obtained in this paper.             The Wiener polynomial for the generalized distance of the join of any two disjoint connected graphs is also obtained in this paper.
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institution OA Journals
issn 1815-4816
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publishDate 2008-12-01
publisher Mosul University
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series Al-Rafidain Journal of Computer Sciences and Mathematics
spelling doaj-art-daf4751d04ce4d32a433c5cc5fb5c2502025-08-20T02:21:25ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902008-12-0152294510.33899/csmj.2008.163984163984Weiner Polynomials to Generalize the Distance of Some Composite Graphs from Special GraphsAli Ali0Ahmed Ali1Academic Professor University of Mosul, Mosul, IraqCollege of Computer Sciences and Mathematics University of Mosul, Mosul, IraqIt is not easy to find the Wiener polynomials for generalized distance of  compound graphs constructed in the form and  for any two disjoint connected graphs and .Therefore, in this paper, we obtain Wiener polynomials for generalized distance of and  when and  are special graphs such as complete graphs, and stars. The Wiener index of each such graph with respect to the generalized distance is also obtained in this paper.             The Wiener polynomial for the generalized distance of the join of any two disjoint connected graphs is also obtained in this paper.https://csmj.mosuljournals.com/article_163984_273b66671f7b816ad94f1f1966048605.pdfn-distancewiener polynomialscomposite graphs
spellingShingle Ali Ali
Ahmed Ali
Weiner Polynomials to Generalize the Distance of Some Composite Graphs from Special Graphs
Al-Rafidain Journal of Computer Sciences and Mathematics
n-distance
wiener polynomials
composite graphs
title Weiner Polynomials to Generalize the Distance of Some Composite Graphs from Special Graphs
title_full Weiner Polynomials to Generalize the Distance of Some Composite Graphs from Special Graphs
title_fullStr Weiner Polynomials to Generalize the Distance of Some Composite Graphs from Special Graphs
title_full_unstemmed Weiner Polynomials to Generalize the Distance of Some Composite Graphs from Special Graphs
title_short Weiner Polynomials to Generalize the Distance of Some Composite Graphs from Special Graphs
title_sort weiner polynomials to generalize the distance of some composite graphs from special graphs
topic n-distance
wiener polynomials
composite graphs
url https://csmj.mosuljournals.com/article_163984_273b66671f7b816ad94f1f1966048605.pdf
work_keys_str_mv AT aliali weinerpolynomialstogeneralizethedistanceofsomecompositegraphsfromspecialgraphs
AT ahmedali weinerpolynomialstogeneralizethedistanceofsomecompositegraphsfromspecialgraphs