On the extremal sombor index of trees with a given diameter

DOI10.1016/j.amc.2021.126731OpenAlexW3209490309MaRDI QIDQ2060192

Shuchao Li, Zheng Wang, Minjie Zhang

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126731

zbMATH Keywords

treediameterdiametrical pathsombor index

Mathematics Subject Classification ID

Graph theory (05Cxx) Chemistry (92Exx) Combinatorics (05-XX)

Related Items (19)

The Minimum Sombor Index for Unicyclic Graphs with Fixed Diameter ⋮ Extremal Sombor Indices of Tetracyclic (Chemical) Graphs ⋮ On Extremal Sombor Indices of Chemical Graphs, and Beyond ⋮ On Sombor Index of Graphs with a Given Number of Cut-Vertices ⋮ Multiplicative Sombor Index of Graphs ⋮ Extremal problems on sombor indices of unicyclic graphs with a given diameter ⋮ Sombor index: review of extremal results and bounds ⋮ On the Sombor characteristic polynomial and Sombor energy of a graph ⋮ The Mean Value of Sombor Index of Graphs ⋮ The minimum Sombor index of trees with given number of pendant vertices ⋮ Extremal unicyclic graphs of Sombor index ⋮ Proofs to some open problems on the maximum Sombor index of graphs ⋮ An alternative proof of the Sombor index minimizing property of greedy trees ⋮ Proof of an open problem on the Sombor index ⋮ Sombor Index of c-Cyclic Chemical Graphs ⋮ New Bounds for Some Topological Indices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On graphs with integer Sombor index

Cites Work

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• Maximal augmented Zagreb index of trees with given diameter
• Ordering chemical graphs by Sombor indices and its applications
• Extremal values on the Sombor index of trees

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