The limiting behaviours for the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain

In this article, we establish the explicit analytical expressions for the variance of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain. We also prove these four indices of the random polyphenylene chain are asy...

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Bibliographic Details
Published inDiscrete Applied Mathematics Vol. 299; pp. 62 - 73
Main Authors Zhang, Jinlian, Peng, Xuhui, Chen, Hanlin
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.08.2021
Elsevier BV
Subjects
Additive degree-Kirchhoff index
Chains
Gutman index
Mathematical analysis
Multiplicative degree-Kirchhoff index
Normal distribution
Random polyphenylene chain
Schultz index
Multiplicative degree-Kirchhoff index
Schultz index
Random polyphenylene chain
Gutman index
Normal distribution
Additive degree-Kirchhoff index
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Summary:In this article, we establish the explicit analytical expressions for the variance of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index of a random polyphenylene chain. We also prove these four indices of the random polyphenylene chain are asymptotic to normal distributions.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2021.04.016