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Sahil Singla

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Preprint Sep 2026

The Matroid Secretary Conjecture is True

We resolve the matroid secretary conjecture, giving an online algorithm that accepts each element of the offline optimum with probability at least $1/4$. The algorithm only needs the number of elements in advance and independence-oracle access to subsets of already-arrived elements; it does not need to know the matroid...

Sahil Singla · 6 citations · ⚡1

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