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

Probabilistic Methods in the Study of Topological Indices on Random Spider Trees