Abstract
Let denote a graph, many important topological indices can be defined as In this paper, we study these kinds of 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 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, Randić, and Zagreb index for a random spiro chain along with their comparative analysis.
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