On a conjecture of the harmonic index and the minimum degree of graphs

DOI10.2298/FIL1810435SzbMath1499.05103OpenAlexW2940539321WikidataQ122983761 ScholiaQ122983761MaRDI QIDQ5029975

Jianwei Du, Lan Xu, Xiaoling Sun, Yu-Bin Gao

Publication date: 15 February 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1810435s

zbMATH Keywords

minimum degreeharmonic index

Mathematics Subject Classification ID

Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Related Items (3)

Graph products and eccentric harmonic index ⋮ Notes on the harmonic index of graphs ⋮ On the \(n\)-vertex trees with sixth to fifteenth maximum harmonic indices

Uses Software

• GRAFFITI

Cites Work

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• The harmonic index for graphs
• The variation of the Randić index with regard to minimum and maximum degree
• Proof of the first part of the conjecture of Aouchiche and Hansen about the Randić index
• Series expansion of the directed percolation probability
• Counter examples to a conjecture concerning harmonic index
• A lower bound for the harmonic index of a graph with minimum degree at least two
• A lower bound for the harmonic index of a graph with minimum degree at least three

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