Comparison of the Wiener and Kirchhoff indices of random pentachains
type: Item
instance of: scholarly article
title: Comparison of the Wiener and Kirchhoff indices of random pentachains
zbMATH Open document ID: 1477.05049
DOI: 10.1155/2021/7523214
author: Yanyan Li
published in: Journal of Mathematics
publication date: 2021-11-24T00:00:00Z
review text: Summary: Let \(G\) be a connected (molecule) graph. The Wiener index \(W(G)\) and Kirchhoff index \(Kf(G)\) of \(G\) are defined as the sum of distances and the resistance distances between all unordered pairs of vertices in \(G\), respectively. In this paper, explicit formulae for the expected values of the Wiener and Kirchhoff indices of random pentachains are derived by the difference equation and recursive method. Based on these formulae, we then make comparisons between the expected values of the Wiener index and the Kirchhoff index in random pentachains and present the average values of the Wiener and Kirchhoff indices with respect to the set of all random pentachains with \(n\) pentagons.
Mathematics Subject Classification ID: 05C09
Mathematics Subject Classification ID: 05C12
Mathematics Subject Classification ID: 05C92
Mathematics Subject Classification ID: 05C70
Mathematics Subject Classification ID: 92E10
zbMATH DE Number: 7433098
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/7523214
OpenAlex ID: W3209215390
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description: scientific article; zbMATH DE number 7433098