On relations between Sombor and other degree-based indices

DOI10.1007/s12190-021-01516-xzbMath1487.05067OpenAlexW3133991342WikidataQ114309989 ScholiaQ114309989MaRDI QIDQ2143785

Zhao Wang, Yaping Mao, Boris Furtula, Yue Li

Publication date: 31 May 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01516-x

zbMATH Keywords

vertex degreeSombor indexNordhaus-Gaddum-type results

Mathematics Subject Classification ID

Applications of graph theory (05C90) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Related Items

On the Graphs with Minimum Sombor Index ⋮ Extremal Sombor Indices of Tetracyclic (Chemical) Graphs ⋮ On Sombor Index of Graphs with a Given Number of Cut-Vertices ⋮ Multiplicative Sombor Index of Graphs ⋮ On the structure of graphs with integer Sombor indices ⋮ The Sombor Index of Trees and Unicyclic Graphs with Given Maximum Degree ⋮ Sombor index: review of extremal results and bounds ⋮ On the Sombor characteristic polynomial and Sombor energy of a graph ⋮ On the spectral radius, energy and Estrada index of the Sombor matrix of graphs ⋮ Sombor index of certain graphs ⋮ Zagreb connection indices in structure property modelling ⋮ The Mean Value of Sombor Index of Graphs ⋮ The minimum Sombor index of trees with given number of pendant vertices ⋮ Extremal Values of the Sombor Index in Tricyclic Graphs ⋮ Proofs to some open problems on the maximum Sombor index of graphs ⋮ Unnamed Item ⋮ On graphs with integer Sombor index ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Quasi-tree graphs with the minimal Sombor indices

Cites Work

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• On the Extremal Zagreb Indices of $\mathbf{\textit{n}}$-Vertex Chemical Trees with Fixed Number of Segments or Branching Vertices
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