The Limiting Behaviors of the Gutman and Schultz Indices in Random 2k-Sided Chains

Autor:	Chen Tao, Shengjun Tang, Xianya Geng
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	limiting behaviors random polygonal chain Gutman index Schultz index Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 8, p 518 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13080518
Popis:	The study of complex networks with topological indices has flourished in recent years. The aim of this paper is to study the limiting behaviors of Gutman and Schultz indices in random polygonal chains, whose graph-theoretic mathematical properties and their future applications have attracted the interest of scientists. By applying the concepts of symmetry and asymptotics as well as the knowledge of probability theory, we obtain explicit analytic expressions for the Gutman and Schultz indices of n random 2k-vertex chains and prove that they converge to a normal distribution, which contributes to a deeper understanding of the structural features of random polygonal chains and plays a crucial role in the study of the limiting behavior of topological indices and their applications.
Databáze:	Directory of Open Access Journals
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