Resistance distance in complete n-partite graphs

We may view any graph as a network of resistors each having a resistance of 1 Ω. The resistance distance between a pair of vertices in a graph is defined as the effective resistance between the two vertices. This function is known to be a metric on the vertex-set of any graph. The main result of thi...

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Main Author: Gervacio, Severino V.
Format: text
Published: Animo Repository 2016
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/2862
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Institution: De La Salle University
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-38612021-11-17T10:18:24Z Resistance distance in complete n-partite graphs Gervacio, Severino V. We may view any graph as a network of resistors each having a resistance of 1 Ω. The resistance distance between a pair of vertices in a graph is defined as the effective resistance between the two vertices. This function is known to be a metric on the vertex-set of any graph. The main result of this paper is an explicit expression for the resistance distance between any pair of vertices in the complete n-partite graph Km1,m2,⋯,mn. © 2016 Elsevier B.V. All rights reserved. 2016-04-20T07:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/2862 Faculty Research Work Animo Repository Electric resistance Graph theory Complete graphs Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Electric resistance
Graph theory
Complete graphs
Mathematics
spellingShingle Electric resistance
Graph theory
Complete graphs
Mathematics
Gervacio, Severino V.
Resistance distance in complete n-partite graphs
description We may view any graph as a network of resistors each having a resistance of 1 Ω. The resistance distance between a pair of vertices in a graph is defined as the effective resistance between the two vertices. This function is known to be a metric on the vertex-set of any graph. The main result of this paper is an explicit expression for the resistance distance between any pair of vertices in the complete n-partite graph Km1,m2,⋯,mn. © 2016 Elsevier B.V. All rights reserved.
format text
author Gervacio, Severino V.
author_facet Gervacio, Severino V.
author_sort Gervacio, Severino V.
title Resistance distance in complete n-partite graphs
title_short Resistance distance in complete n-partite graphs
title_full Resistance distance in complete n-partite graphs
title_fullStr Resistance distance in complete n-partite graphs
title_full_unstemmed Resistance distance in complete n-partite graphs
title_sort resistance distance in complete n-partite graphs
publisher Animo Repository
publishDate 2016
url https://animorepository.dlsu.edu.ph/faculty_research/2862
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