On the Resistance-Harary Index of Graphs Given Cut Edges

Autor: Hongzhuan Wang, Hongbo Hua, Libing Zhang, Shu Wen
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of Chemistry, Vol 2017 (2017)
Druh dokumentu: article
ISSN: 2090-9063
2090-9071
DOI: 10.1155/2017/3531746
Popis: Graphs are often used to describe the structure of compounds and drugs. Each vertex in the graph represents the molecule and each edge represents the bond between the atoms. The resistance distance between any two vertices is equal to the resistance between the two points of an electrical network. The Resistance-Harary index is defined as the sum of reciprocals of resistance distances between all pairs of vertices. In this paper, the extremal graphs with maximum Resistance-Harary index are determined in connected graphs with given vertices and cut edges.
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