The expected values for the <scp>Gutman index</scp>, <scp>Schultz</scp> index, and some <scp>Sombor</scp> indices of a random cyclooctane chain
Jia‐Bao Liu, Jiao‐Jiao Gu, Kang Wang
Abstract
Abstract In this paper, we first introduce the explicit analytical formulas for the expected values of the Gutman and Schultz indices for a random cyclooctane chain . Meanwhile, the explicit formulas of the variances of the Gutman and Schultz indices for a random cyclooctane chain are determined and we prove these two indices are asymptotically subject to normal distribution. Furthermore, we are surprised to find the expected values of the Sombor index , the reduced Sombor index , the modified Sombor index and the reduced and modified Sombor index for a random cyclooctane chain.
Topics & Concepts
CyclooctaneIndex (typography)MathematicsChain (unit)StatisticsChemistryComputer sciencePhysicsOrganic chemistryCatalysisAstronomyWorld Wide WebGraph theory and applicationsComputational Drug Discovery MethodsSynthesis and Properties of Aromatic Compounds