The smallest harmonic index of trees with given maximum degree

DOI10.7151/DMGT.2019zbMath1390.05057OpenAlexW2772420989MaRDI QIDQ1708398

Reza Rasi, Seyyed Mahmoud Sheikholeslami

Publication date: 23 March 2018

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.2019

zbMATH Keywords

treesharmonic index

Mathematics Subject Classification ID

Paths and cycles (05C38) Distance in graphs (05C12) Vertex degrees (05C07)

Related Items (4)

On General Sum-Connectivity Index of Trees of Fixed Maximum Degree and Order ⋮ The relation between the harmonic index and some coloring parameters ⋮ On the \(n\)-vertex trees with sixth to fifteenth maximum harmonic indices ⋮ Distance-based indices of complete m-ary trees

Uses Software

• GRAFFITI

Cites Work

• The harmonic index for graphs
• Some properties on the harmonic index of molecular trees
• The harmonic index of a graph
• Some eigenvalue properties in graphs (conjectures of Graffiti -- II)
• On the harmonic index and the chromatic number of a graph
• On structure-sensitivity of degree-based topological indices
• The harmonic index of unicyclic graphs with given matching number
• On the harmonic index of bicyclic conjugated molecular graphs
• A lower bound for the harmonic index of a graph with minimum degree at least two
• The harmonic index for unicyclic graphs with given girth
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