Reposted by Pratyush Mishra
Reposted by Pratyush Mishra
A world without open problems
Here are some that fell today:
K-server: arxiv.org/abs/2609.15979
Matroid Secretary: arxiv.org/abs/2609.145...
Matrix Spencer: arxiv.org/abs/2609.15025
(Well Matrix Spencer was maybe also a few weeks ago, but who's counting? arxiv.org/abs/2608.28816 )
arxiv.org
The $k$-server conjecture is true
The $k$-server conjecture states that a deterministic online algorithm can achieve competitive ratio $k$ on every metric space. We prove the conjecture. Specifically, we show that the work function al...
