Maximum and minimum Sombor index among \(k\)-apex unicyclic graphs and \(k\)-apex trees

DOI10.1142/S1793557123500122MaRDI QIDQ6650405

Hanyuan Deng, Jing Yang

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

degree sequence\(k\)-apex treeSombor indexBFS-graph\(k\)-apex unicyclic graph\(k\)-cone \(c\)-cyclic graph

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

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• Functions on adjacent vertex degrees of trees with given degree sequence
• Some notes on the extremal \(k\)-generalized quasi-unicyclic graphs with respect to Zagreb indices
• Extremal values of the Sombor index in unicyclic and bicyclic graphs
• The Laplacian spectral radii of trees with degree sequences
• Extremal graphs for vertex-degree-based invariants with given degree sequences
• The (signless Laplacian) spectral radii of connected graphs with prescribed degree sequences
• Unified extremal results of topological indices and spectral invariants of graphs
• General properties on Sombor indices
• Unified extremal results for \(k\)-apex unicyclic graphs (trees)
• Sombor index of chemical graphs
• Sombor index of trees with at most three branch vertices
• Extremal \(k\)-generalized quasi unicyclic graphs with respect to first and second Zagreb indices
• Weighted Harary indices of apex trees and \(k\)-apex trees
• The Harary index of ordinary and generalized quasi-tree graphs
• Sombor Index of Polymers
• Ordering chemical graphs by Sombor indices and its applications
• Extremal values on the Sombor index of trees
• Inequalities: theory of majorization and its applications

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