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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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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1724429204172308480 |