%0 Journal Article
%T Probabilistic analysis of the first Zagreb index
%J Transactions on Combinatorics
%I University of Isfahan
%Z 2251-8657
%A Kazemi, Ramin
%D 2013
%\ 06/01/2013
%V 2
%N 2
%P 35-40
%! Probabilistic analysis of the first Zagreb index
%K Bucket recursive trees with variable capacities
of buckets
%K Zagreb index
%K martingale
%R 10.22108/toc.2013.2881
%X In this paper we study the first Zagreb index in bucket recursive trees containing buckets with variable capacities. This model was introduced by Kazemi in 2012. We obtain the mean and variance of the first Zagreb index and introduce a martingale based on this quantity.
%U https://toc.ui.ac.ir/article_2881_e4d82056fd1c36fd883f73551fe4a60f.pdf