# Probabilistic analysis of the first Zagreb index

Document Type: Research Paper

Author

Department of statistics, Imam Khomeini International University, Qazvin

Abstract

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.

Keywords

Main Subjects

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