Matching on the line admits no $o(\sqrt{\log n})$-competitive algorithm
Enoch Peserico, Michele Scquizzato·2020-12-31·via cs.DS updates on arXiv.org
We present a simple proof that the competitive ratio of any randomized online matching algorithm for the line is at least $\sqrt{\log_2(n\!+\!1)}/12$ for all $n=2^i\!-\!1: i\in\mathbb{N}$.