The expected values and variances for Sombor indices in a general random chain

DOI10.1016/j.amc.2021.126521OpenAlexW3186920294MaRDI QIDQ2245996

Hechao Liu, Yufei Huang, Wei Lin Zhang, Lihua You

Publication date: 15 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.2021.126521

zbMATH Keywords

distributionvarianceexpected valueSombor indicesrandom chain

Mathematics Subject Classification ID

Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (15)

The expected values of Wiener indices in random polycyclic chains ⋮ Extremal Sombor Indices of Tetracyclic (Chemical) Graphs ⋮ 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 ⋮ Bounds of modified Sombor index, spectral radius and energy ⋮ Computing the expected subtree number of random hexagonal and phenylene chains based on probability matrices ⋮ The minimum Kirchhoff index of phenylene chains ⋮ An alternative proof of the Sombor index minimizing property of greedy trees ⋮ The statistical analysis for Sombor indices in a random polygonal chain networks ⋮ Sombor Index of c-Cyclic Chemical Graphs ⋮ Extremal polygonal chains with respect to the Kirchhoff index ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• The limiting behaviours for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain
• The expected values for the Schultz index, Gutman index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain
• Sombor index of chemical graphs
• Sombor index of trees with at most three branch vertices
• Sombor Index of Polymers
• Ordering chemical graphs by Sombor indices and its applications
• Extremal values on the Sombor index of trees
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