On the Multiplicative Zagreb Indices of Bucket Recursive Trees

Bucket recursive trees are an interesting and natural generalization of ordinary recursive trees and have a connection to mathematical chemistry. In this paper, we give the lower and upper bounds for the moment generating function and moments of the multiplicative Zagreb indices in a randomly chosen bucket recursive tree of size n with maximal bucket size b 1. Also, we consider the ratio of the multiplicative Zagreb indices for different values of n and b . All our results reduce to the ordinary recursive trees for b =1.