Sombor index of chemical graphs

DOI10.1016/j.amc.2021.126018OpenAlexW3128911204MaRDI QIDQ2242650

Juan Rada, Ivan Gutman, Roberto Cruz

Publication date: 10 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.2021.126018

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (49)

Extremal values of the Sombor index in unicyclic and bicyclic graphs ⋮ On the Graphs with Minimum Sombor Index ⋮ The Minimum Sombor Index for Unicyclic Graphs with Fixed Diameter ⋮ Extremal Sombor Indices of Tetracyclic (Chemical) Graphs ⋮ Sharp Bounds on the Sombor Energy of Graphs ⋮ On Extremal Sombor Indices of Chemical Graphs, and Beyond ⋮ On Sombor Index of Graphs with a Given Number of Cut-Vertices ⋮ On Sombor Index and Graph Energy ⋮ A Note on Energy and Sombor Energy of Graphs ⋮ Sombor Energy and Hückel Rule ⋮ Multiplicative Sombor Index of Graphs ⋮ 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 ⋮ Extremal problems on sombor indices of unicyclic graphs with a given diameter ⋮ Sombor index: review of extremal results and bounds ⋮ The reduced Sombor index and the exponential reduced Sombor index of a molecular tree ⋮ 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 ⋮ Bounds of modified Sombor index, spectral radius and energy ⋮ Chemical Trees with Maximal VDB Topological Indices ⋮ The Mean Value of Sombor Index of Graphs ⋮ The minimum Sombor index of trees with given number of pendant vertices ⋮ Counting maximal independent sets in some \(n\)-gonal cacti ⋮ Extremal unicyclic graphs of Sombor index ⋮ Extremal Values of the Sombor Index in Tricyclic Graphs ⋮ Proofs to some open problems on the maximum Sombor index of graphs ⋮ An alternative proof of the Sombor index minimizing property of greedy trees ⋮ The statistical analysis for Sombor indices in a random polygonal chain networks ⋮ Topological entropies of single walled carbon nanotubes ⋮ Proof of an open problem on the Sombor index ⋮ Sombor Index of c-Cyclic Chemical Graphs ⋮ Extreme Sombor Spectral Radius of Unicyclic Graphs ⋮ New Bounds for Some Topological Indices ⋮ Unnamed Item ⋮ On graphs with integer Sombor index ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Sombor index of trees with at most three branch vertices ⋮ The expected values and variances for Sombor indices in a general random chain ⋮ On Sombor index of trees ⋮ General properties on Sombor indices ⋮ On the extremal sombor index of trees with a given diameter ⋮ On Sombor index of trees with fixed domination number ⋮ Reduced Sombor index of bicyclic graphs ⋮ Quasi-tree graphs with the minimal Sombor indices

Cites Work

• A formula with its applications on the difference of Zagreb indices of graphs
• Extremal values of vertex-degree-based topological indices of chemical trees
• On the reduced second Zagreb index of graphs
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