On Bond Incident Degree Indices of Random Spiro Chains

Let G=(V(G),E(G)) denote a graph, many important topological indices can be defined as TI(G)=Sigma vu is an element of E(G)f(dv,du). 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 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, Randi, and Zagreb index for a random spiro chain along with their comparative analysis.