Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 11 3 2026 09 01 Degree–based topological indices of a general random chain 897 909 14873 10.22049/cco.2024.30080.2301 EN Saylé Sigarreta Facultad de Ciencias F´ısico Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, México Hugo Cruz Suárez Facultad de Ciencias F´ısico Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, México Sergio Torralbas Fitz Department of Orthopedic Oncology, University of Miami - Miller School of Medicine, Miami, Florida, United States Journal Article 2024 10 20 In this paper, we examine a specific type of random chains and propose a unified approach to studying the degree-based topological indices, including their extreme values. We derive explicit analytical expressions for the expected values and variances of these indices and  we establish the asymptotic behavior of the indices. Specifically, we analyze the first Zagreb index, Sombor index, harmonic index, Geometric-Arithmetic index, Inverse Sum Index, and the second Zagreb index for various general random chains, including random phenylene, random polyphenyl, random hexagonal, and linear chains.  https://comb-opt.azaruniv.ac.ir/article_14873_f023138f1d463d6aa1bc82f49dbe4979.pdf