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What and Who

Weighted Dynamic Finger in Binary Search Trees by Iacono and Langerman (SODA '16)

Kurt Mehlhorn
Max-Planck-Institut für Informatik - D1
AG1 Mittagsseminar (others' work)
AG 1, AG 2, AG 3, AG 4, AG 5, RG1, SWS, MMCI  
AG Audience
English

Date, Time and Location

Thursday, 5 October 2017
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

I present a result by Iacono and Langerman. Let s1, s2, ..., sm be a sequence of number in [1..n] and let T be ANY binary search tree with leaves numbered 1 .. n. Let

C = \sum_i d(s_{s-1},s_i),
where d(s_{i-1},s_i) is the distance between s_{i-1} and s_i in T. They show that there is a class of self-adjusting binary search trees that serve the sequence in cost O(C).

The algorithm has no advance knowledge of the sequence of requests. Its actions do NOT depend on the reference tree T.

Contact

Kurt Mehlhorn
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Kurt Mehlhorn, 09/21/2017 09:07 -- Created document.