Probabilistic analysis of the first Zagreb index

نویسندگان
Kazemi, Ramin ID 1

1 Department of statistics, Imam Khomeini International University, Qazvin

doi
10.22108/toc.2013.2881
چکیده

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.

کلیدواژه‌ها
Bucket recursive trees with variable capacities of buckets, Zagreb index, martingale