English

Topological indices in Random Spiro Chains

Probability 2022-05-30 v1

Abstract

In this paper, we study topological indices in random spiro chains via a martingale approach. In which their explicit analytical expressions of the exact distribution, expected value and variance are obtained. As n goes to infinity, the asymptotic normality of topological indices of a random spiro chain is established through the Martingale Central Limit Theorem. In particular, we compute the Nirmala, Sombor, Randic and Zagreb index for a random spiro chain along with their comparative analysis.

Cite

@article{arxiv.2205.13645,
  title  = {Topological indices in Random Spiro Chains},
  author = {Sayle Sigarreta and Sayli Sigarreta and Hugo Cruz-Suarez},
  journal= {arXiv preprint arXiv:2205.13645},
  year   = {2022}
}

Comments

Sombor index; Random Chains; Martingales; Randic index; Zagreb index. arXiv admin note: text overlap with arXiv:2205.06385

R2 v1 2026-06-24T11:30:14.359Z