Sombor index of trees with at most three branch vertices

DOI10.1016/j.amc.2021.126414OpenAlexW3169395000MaRDI QIDQ2244183

José María Sigarreta-Almira, Juan Rada, Roberto Cruz

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126414

zbMATH Keywords

treesextremal valuesbranch verticesSombor index

Mathematics Subject Classification ID

Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (14)

On Extremal Sombor Indices of Chemical Graphs, and Beyond ⋮ Multiplicative Sombor Index of Graphs ⋮ Sombor index: review of extremal results and bounds ⋮ Sombor index and degree-related properties of simplicial networks ⋮ The Mean Value of Sombor Index of Graphs ⋮ The minimum Sombor index of trees with given number of pendant vertices ⋮ An alternative proof of the Sombor index minimizing property of greedy trees ⋮ Sombor Index of c-Cyclic Chemical Graphs ⋮ Maximum values of sombor index of bicyclic graphs with a given matching number ⋮ Unnamed Item ⋮ The expected values and variances for Sombor indices in a general random chain ⋮ Unnamed Item ⋮ Reduced Sombor index of bicyclic graphs ⋮ Quasi-tree graphs with the minimal Sombor indices

Cites Work

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• Some extremal graphs with respect to inverse degree
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• Extremal values of the Sombor index in unicyclic and bicyclic graphs
• One special double starlike graph is determined by its Laplacian spectrum
• Characteristics polynomial of normalized Laplacian for trees
• Sombor index of chemical graphs
• Vertex-degree-based topological indices over starlike trees
• Indices for special classes of trees
• Some results on symmetric double starlike trees
• Laplacian spectral characterization of two families of trees
• Spectral radius ordering of starlike trees

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