On Bond Incident Degree Indices of Random Spiro Chains
Saylé Sigarreta, Saylé Sigarreta, Saylí Sigarreta, Saylí Sigarreta, Hugo Cruz−Suárez
Abstract
Let G=(V(G),E(G)) denote a graph, many important topological indices can be defined as TI(G)=∑vu∈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 ∞, 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.
Topics & Concepts
Martingale (probability theory)Asymptotic distributionMathematicsCentral limit theoremTopological indexRandom graphCombinatoricsLimit (mathematics)GraphDiscrete mathematicsStatisticsMathematical analysisEstimatorGraph theory and applicationsTopological and Geometric Data AnalysisComputational Drug Discovery Methods