The Restricted Detour Polynomial of the Theta Graph

The restricted detour distance  D*(u,v) between two vertices u and v of a connected graph G is the length of a longest u - v path P in G such that <V(P)> = P. The main goal of this paper is to obtain the restricted detour polynomial of the theta graph. Moreover, the restricted detour index of...

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Main Authors: Herish Abdullah, Ivan Ali
Format: Article
Language:Arabic
Published: Mosul University 2020-05-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_164664_cea9e3a4c68893fc90b825d05f8ecba7.pdf
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author Herish Abdullah
Ivan Ali
author_facet Herish Abdullah
Ivan Ali
author_sort Herish Abdullah
collection DOAJ
description The restricted detour distance  D*(u,v) between two vertices u and v of a connected graph G is the length of a longest u - v path P in G such that <V(P)> = P. The main goal of this paper is to obtain the restricted detour polynomial of the theta graph. Moreover, the restricted detour index of the theta graph will also be obtained.<br />
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spelling doaj.art-914b61146e0349c287f263ec7897fb7a2022-12-22T01:17:48ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902020-05-01141132010.33899/csmj.2020.164664164664The Restricted Detour Polynomial of the Theta GraphHerish Abdullah0Ivan Ali1Dept. of Math., College of Science University of Salahaddin/ Erbil Iraqi Kurdistan Region. IraqDept. of Math., College of Education University of Salahaddin/ Erbil Iraqi Kurdistan Region. IraqThe restricted detour distance  D*(u,v) between two vertices u and v of a connected graph G is the length of a longest u - v path P in G such that <V(P)> = P. The main goal of this paper is to obtain the restricted detour polynomial of the theta graph. Moreover, the restricted detour index of the theta graph will also be obtained.<br />https://csmj.mosuljournals.com/article_164664_cea9e3a4c68893fc90b825d05f8ecba7.pdfrestricted detour distancerestricted detour polynomialtheta graphs
spellingShingle Herish Abdullah
Ivan Ali
The Restricted Detour Polynomial of the Theta Graph
Al-Rafidain Journal of Computer Sciences and Mathematics
restricted detour distance
restricted detour polynomial
theta graphs
title The Restricted Detour Polynomial of the Theta Graph
title_full The Restricted Detour Polynomial of the Theta Graph
title_fullStr The Restricted Detour Polynomial of the Theta Graph
title_full_unstemmed The Restricted Detour Polynomial of the Theta Graph
title_short The Restricted Detour Polynomial of the Theta Graph
title_sort restricted detour polynomial of the theta graph
topic restricted detour distance
restricted detour polynomial
theta graphs
url https://csmj.mosuljournals.com/article_164664_cea9e3a4c68893fc90b825d05f8ecba7.pdf
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