The asymptotic value of the zeroth-order Randić index and sum-connectivity index for trees

DOI10.1016/j.amc.2015.06.028zbMath1410.05210OpenAlexW2215811454MaRDI QIDQ669447

Jing Li, Yi-Yang Li

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.028

zbMATH Keywords

treeasymptotic valuerandom treezeroth-order Randić indexthe sum-connectivity index

Mathematics Subject Classification ID

Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (7)

The general Randić index of trees with given number of pendent vertices ⋮ Comparison between the zeroth-order Randić index and the sum-connectivity index ⋮ On the Graovac-Ghorbani index of graphs ⋮ On the Wiener polarity index of graphs ⋮ Beyond the Zagreb indices ⋮ On the general sum-connectivity index of trees with given number of pendent vertices ⋮ The minimum general sum-connectivity index of trees with given matching number

Cites Work

• The asymptotic value of the Randić index for trees
• On a relation between the Randić index and the chromatic number
• Minimum sum-connectivity indices of trees and unicyclic graphs of a given matching number
• Connected \((n,m)\)-graphs with minimum and maximum zeroth-order general Randić index
• On a novel connectivity index
• The distribution of degrees in a large random tree
• Degree distance of unicyclic graphs with given matching number
• Corrections of proofs for Hansen and Mélot's two theorems
• On a conjecture about tricyclic graphs with maximal energy
• Randi\'c index, diameter and the average distance
• The distribution of nodes of given degree in random trees
• The Maximal Matching Energy of Tricyclic Graphs
• The Distribution of Patterns in Random Trees
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