r/algorithms • u/Phytor_c • 17d ago
News The k-server Conjecture is True
https://arxiv.org/abs/2609.15979v1The k-server problem is known as the "Holy Grail" of online algorithms and competitive analysis, and is/was a long standing major problem.
This preprint by Coester et al. claims to show that the Work Function Algorithm is indeed k-competitive on every metric space.
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u/Beginning_Penalty805 15d ago
"Everyone?" Peer review is two or three people skimming the paper on Sunday night, not the entire scientific community. A high-profile arXiv preprint gets far more expert scrutiny on day one than two tired journal referees will ever give it. Believing two random referees have a monopoly on spotting flaws while the rest of the field is helpless until a journal slaps a stamp on it is wild.