On Restricted Detour Median of Special Graphs

The restricted detour distance between two vertices is the length of longest path P such that the induced subgraph for a vertex set of P is identical P. The number of restricted detour distance of a vertex v of a connected graph Ǥ is a summation of restricted detour distances from v to all vertices...

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Main Authors: Rasha S. Hasan, Haitham N. Mohammed, Ahmed M. Ali
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/ijmm/3352309
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author Rasha S. Hasan
Haitham N. Mohammed
Ahmed M. Ali
author_facet Rasha S. Hasan
Haitham N. Mohammed
Ahmed M. Ali
author_sort Rasha S. Hasan
collection DOAJ
description The restricted detour distance between two vertices is the length of longest path P such that the induced subgraph for a vertex set of P is identical P. The number of restricted detour distance of a vertex v of a connected graph Ǥ is a summation of restricted detour distances from v to all vertices of Ǥ. In this paper, we give a new definitions called restricted detour median graph (RDM-graph) and restricted detour self-median graph (RDSM-graph) and then we find many results related with them.
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spelling doaj-art-e13f6fdee2ff434b87763db3a3c7f7e82025-08-20T03:15:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252025-01-01202510.1155/ijmm/3352309On Restricted Detour Median of Special GraphsRasha S. Hasan0Haitham N. Mohammed1Ahmed M. Ali2Department of MathematicsAl-Haram First Primary SchoolDepartment of MathematicsThe restricted detour distance between two vertices is the length of longest path P such that the induced subgraph for a vertex set of P is identical P. The number of restricted detour distance of a vertex v of a connected graph Ǥ is a summation of restricted detour distances from v to all vertices of Ǥ. In this paper, we give a new definitions called restricted detour median graph (RDM-graph) and restricted detour self-median graph (RDSM-graph) and then we find many results related with them.http://dx.doi.org/10.1155/ijmm/3352309
spellingShingle Rasha S. Hasan
Haitham N. Mohammed
Ahmed M. Ali
On Restricted Detour Median of Special Graphs
International Journal of Mathematics and Mathematical Sciences
title On Restricted Detour Median of Special Graphs
title_full On Restricted Detour Median of Special Graphs
title_fullStr On Restricted Detour Median of Special Graphs
title_full_unstemmed On Restricted Detour Median of Special Graphs
title_short On Restricted Detour Median of Special Graphs
title_sort on restricted detour median of special graphs
url http://dx.doi.org/10.1155/ijmm/3352309
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