Topological indices for random spider trees

Abstract

In this study, we characterize the structure and some topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalized Zagreb index, and other indices associated with these. We obtain the exact and asymptotic distributions of the number of leaves via probabilistic methods. Moreover, we relate this model to the class of RSTs that evolves in a preferential attachment manner.

Modified Detour Index of Hamiltonian Connected (Laceable) Graphs

“…A spider web network (12) SW (r, s) is the graph with vertex set {(x, y)|0 ≤ x < r, 0 ≤ y < s} such that (x, y) and (u, v) are adjacent if they satisfy one of the following conditions:…”