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ZAGREB CONNECTION INDICES ON POLYOMINO CHAINS AND RANDOM POLYOMINO CHAINS

23 May 2024, Version 2
Review
This content is a preprint and has not undergone peer review at the time of posting.

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.

Keywords

mathematical chemistry
topological indices
Markov chain
random graphs
polyomino chains

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Version History

May 23, 2024 Version 2

Version Notes

The previous pdf contained the items Theorem, Proposition ect omitted.

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.26434/chemrxiv-2024-qmb2w-v2
D O I: 10.26434/chemrxiv-2024-qmb2w-v2 [opens in a new tab]

Funding

VIEP
No. 00389

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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