Asymptotic Expansions of the Mergesort Recurrences

This note provides exact formulæ for the mean and variance of the cost of top-down recursive mergesort. These formulæ improve upon earlier results of Flajolet and Golin. Key words. analysis of algorithms, mergesort, Dirichlet series, asymptotic expansions.

• Type: Journal
• Year: 1998
• Where: ACTA
• Authors: Hsien-Kuei Hwang
• Keywords: ACTA 1998, Asymptotic Expansions, Exact Formulæ, Top-down Recursive Mergesort