%0 Journal Article
%A Kazemi, R.
%T The Subtree Size Profile of Bucket Recursive Trees
%J Iranian Journal of Mathematical Sciences and Informatics
%V 11
%N 1
%U http://ijmsi.ir/article-1-381-en.html
%R 10.7508/ijmsi.2016.01.001
%D 2016
%K Bucket recursive tree, Subtree size profile, Factorial moments.,
%X Kazemi (2014) introduced a new version of bucket recursive trees as another generalization of recursive trees where buckets have variable capacities. In this paper, we get the $p$-th factorial moments of the random variable $S_{n,1}$ which counts the number of subtrees size-1 profile (leaves) and show a phase change of this random variable. These can be obtained by solving a first order partial differential equation for the generating function correspond to this quantity.
%> http://ijmsi.ir/article-1-381-en.pdf
%P 1-11
%& 1
%!
%9 Research paper
%L A-10-414-1
%+ Imam Khomeini International University
%G eng
%@ 1735-4463
%[ 2016