Open AccessThe minimum harmonic index for bicyclic graphs with given diameter
Author(s) -
Adeleh Abdolghafourian,
Mohammad A. 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.