English

Zagreb Connection indices on polyomino chains and random polyomino chains

Disordered Systems and Neural Networks 2024-05-22 v1 Probability

Abstract

In this manuscript, we delve into the exploration of the first and second Zagreb connection indices of both polyomino chains and random polyomino chains. Our methodology relies on the utilization of Markov chain theory. Within this framework, the article thoroughly examines precise formulas and investigates extreme values. Leveraging the derived formulas, we further explore and elucidate the long-term behavior exhibited by random polyomino chains.

Cite

@article{arxiv.2405.12389,
  title  = {Zagreb Connection indices on polyomino chains and random polyomino chains},
  author = {Sayle Sigarreta and Hugo Cruz-Suarez},
  journal= {arXiv preprint arXiv:2405.12389},
  year   = {2024}
}

Comments

mathematical chemistry, topological indices, Markov chain, random graphs, polyomino chains

R2 v1 2026-06-28T16:33:40.309Z