Wiener Polynomials of the Width Distance for Compound Graphs of G1 ☒ G2

For a connected vertex disjoint graphs G<sub>1</sub> and G<sub>2</sub> , we define G1 ☒ G2 as the graph obtained from the union of G<sub>1 </sub>and G<sub>2 </sub>with four edges joining  the vertices of an edge of G<sub>1 </sub>to the vert...

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Main Authors: Ali Ali, Asma Aziz
Format: Article
Language:Arabic
Published: Mosul University 2010-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163895_f8278704f3e84a0d4111f8df812c1a1c.pdf
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spelling doaj-b5a2c0c987314c56b019e7f6d4acdce92020-11-25T04:07:20ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902010-12-0172314610.33899/csmj.2010.163895163895Wiener Polynomials of the Width Distance for Compound Graphs of G1 ☒ G2Ali Ali0Asma Aziz1College of Computer Science and Mathematics University of Mosul, Mosul, IraqCollege of Computer Science and Mathematics University of Mosul, Mosul, IraqFor a connected vertex disjoint graphs G<sub>1</sub> and G<sub>2</sub> , we define G1 ☒ G2 as the graph obtained from the union of G<sub>1 </sub>and G<sub>2 </sub>with four edges joining  the vertices of an edge of G<sub>1 </sub>to the vertices of an edge of G<sub>2 </sub>.In this paper we obtain Wiener polynomials of the width distance-2 for K<sub>s</sub> ☒ K<sub>t</sub>   ,   K<sub>s</sub> ☒ G<sub>t</sub> and    G<sub>s</sub> ☒ G<sub>t</sub>.The Wiener index of each such composite graph is also obtained.https://csmj.mosuljournals.com/article_163895_f8278704f3e84a0d4111f8df812c1a1c.pdfwiener polynomialswidth distancecompound graphs
collection DOAJ
language Arabic
format Article
sources DOAJ
author Ali Ali
Asma Aziz
spellingShingle Ali Ali
Asma Aziz
Wiener Polynomials of the Width Distance for Compound Graphs of G1 ☒ G2
Al-Rafidain Journal of Computer Sciences and Mathematics
wiener polynomials
width distance
compound graphs
author_facet Ali Ali
Asma Aziz
author_sort Ali Ali
title Wiener Polynomials of the Width Distance for Compound Graphs of G1 ☒ G2
title_short Wiener Polynomials of the Width Distance for Compound Graphs of G1 ☒ G2
title_full Wiener Polynomials of the Width Distance for Compound Graphs of G1 ☒ G2
title_fullStr Wiener Polynomials of the Width Distance for Compound Graphs of G1 ☒ G2
title_full_unstemmed Wiener Polynomials of the Width Distance for Compound Graphs of G1 ☒ G2
title_sort wiener polynomials of the width distance for compound graphs of g1 ☒ g2
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2010-12-01
description For a connected vertex disjoint graphs G<sub>1</sub> and G<sub>2</sub> , we define G1 ☒ G2 as the graph obtained from the union of G<sub>1 </sub>and G<sub>2 </sub>with four edges joining  the vertices of an edge of G<sub>1 </sub>to the vertices of an edge of G<sub>2 </sub>.In this paper we obtain Wiener polynomials of the width distance-2 for K<sub>s</sub> ☒ K<sub>t</sub>   ,   K<sub>s</sub> ☒ G<sub>t</sub> and    G<sub>s</sub> ☒ G<sub>t</sub>.The Wiener index of each such composite graph is also obtained.
topic wiener polynomials
width distance
compound graphs
url https://csmj.mosuljournals.com/article_163895_f8278704f3e84a0d4111f8df812c1a1c.pdf
work_keys_str_mv AT aliali wienerpolynomialsofthewidthdistanceforcompoundgraphsofg1g2
AT asmaaziz wienerpolynomialsofthewidthdistanceforcompoundgraphsofg1g2
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