The minimum harmonic index for bicyclic graphs with given diameter | Zendy

Adeleh Abdolghafourian | Zendy; Mohammad Iranmanesh | Zendy

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The minimum harmonic index for bicyclic graphs with given diameter

Author(s) -

Adeleh Abdolghafourian,

Mohammad Iranmanesh

Publication year - 2022

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2201125a

Subject(s) - mathematics , bicyclic molecule , combinatorics , graph , vertex (graph theory) , topological index , harmonic , index (typography) , discrete mathematics , chemistry , physics , stereochemistry , computer science , quantum mechanics , world wide web

The harmonic index of a graph G, is defined as the sum of weights 2/d(u)+d(v) of all edges uv of G, where d(u) is the degree of the vertex u in G. In this paper we find the minimum harmonic index of bicyclic graph of order n and diameter d. We also characterized all bicyclic graphs reaching the minimum bound.

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