On the Multiplicative Zagreb Indices of Bucket Recursive‎ ‎Trees

ýBucket recursive trees are an interesting and naturalý ýgeneralization of ordinary recursive trees and have a connectioný to mathematical chemistryý. ýIn this paperý, ýwe give the lower and upper bounds for the moment generatingý ýfunction and moments of the multiplicative Zagreb indices in aý ýrandomly chosen bucket recursive tree of size $n$ with maximal bucket size $bgeq1$ý. Also, ýwe consider the ratio of the multiplicative Zagrebý ýindices for different values of $n$ and $b$ý. ýAll our results reduce to the ordinary recursive trees for $b=1$ý.