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A 3.3904-Competitive Online Algorithm for List Update with Uniform Costs

2025/03/21 by Basiak, Mateusz, Bienkowski, Marcin, Böhm, Martin +4
#Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences

paper · doi:10.48550/arxiv.2503.17264

Abstract

We consider the List Update problem where the cost of each swap is assumed to be 1. This is in contrast to the ``standard'' model, in which an algorithm is allowed to swap the requested item with previous items for free. We construct an online algorithm Full-Or-Partial-Move (FPM), whose competitive ratio is at most 3.3904, improving over the previous best known bound of 4.

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