Topological indices in Random Spiro Chains

Abstract

Let G = (V (G), E(G)) denote a graph, many important topological indices can be defined asIn 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.