A New Binomial Recurrence Arising in a Graphical Compression Algorithm

In a recently proposed graphical compression algorithm by Choi and Szpankowski (2009), the following tree arose in the course of the analysis. The root contains n balls that are consequently distributed between two subtrees according to a simple rule: In each step, all balls independently move down...

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Bibliographic Details
Main Authors: Yongwook Choi, Charles Knessl, Wojciech Szpankowski
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2012-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2979/pdf