Geodesic
The minimum harmonic index for bicyclic graphs with given diameter
Filomat, Tome 36 (2022) no. 1, p. 125

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DOI

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
DOI : 10.2298/FIL2201125A
Classification : 05C50, 05C09, 05C35
Keywords: Harmonic index, bicyclic graph, diameter 
Adeleh Abdolghafourian; Mohammad A Iranmanesh. The minimum harmonic index for bicyclic graphs with given diameter. Filomat, Tome 36 (2022) no. 1, p. 125 . doi: 10.2298/FIL2201125A
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     title = {The minimum harmonic index for bicyclic graphs with given diameter},
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     doi = {10.2298/FIL2201125A},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201125A/}
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