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

Weilin Zhang, Lihua You, Hechao Liu and Yufei Huang

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: This article is devoted to establish the distributions for Sombor indices in a general random chain, in which their explicit analytical expressions of the expected values and variances are obtained. As applications, these results for random hexagonal, random phenylene, random polyphenyl and random spiro chains are given. Finally, the distributions for the Sombor indices in these four random chains are asymptotic to normal distributions is shown.

Keywords: Sombor indices; Random chain; Distribution; Expected value; Variance (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s009630032100610x

DOI: 10.1016/j.amc.2021.126521

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