We present a simple proof that the competitive ratio of any randomized online matching algorithm for the line exceeds √log2(n+1)/15 for all n = 2i-1 : i ∈ N, settling a 25-year-old open question.

Matching on the line admits no o(√log n)-competitive algorithm

Peserico E.;Scquizzato M.
2021

Abstract

We present a simple proof that the competitive ratio of any randomized online matching algorithm for the line exceeds √log2(n+1)/15 for all n = 2i-1 : i ∈ N, settling a 25-year-old open question.
2021
Leibniz International Proceedings in Informatics, LIPIcs
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3403048
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