The Sombor Index of Trees and Unicyclic Graphs with Given Maximum Degree

DOI10.47443/dml.2021.0035OpenAlexW3136501028MaRDI QIDQ5051437

Ting Zhou, Lian-Ying Miao, Zhen Lin

Publication date: 23 November 2022

Published in: Discrete Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07947

zbMATH Keywords

treedegreeunicyclic graphSombor index

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (11)

On the Graphs with Minimum Sombor Index ⋮ Non-semiregular bipartite graphs with integer Sombor index ⋮ 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 ⋮ The Mean Value of Sombor Index of Graphs ⋮ Proofs to some open problems on the maximum Sombor index of graphs ⋮ On graphs with integer Sombor index ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Quasi-tree graphs with the minimal Sombor indices

Cites Work

• On relations between Sombor and other degree-based indices
• Sombor index of chemical graphs
• On the structure of graphs with integer Sombor indices
• The Sombor Index of Trees and Unicyclic Graphs with Given Maximum Degree
• On the spectral radius, energy and Estrada index of the Sombor matrix of graphs
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