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Author

Victor Verdugo

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Preprint Sep 2026

The Strong Secretary Conjecture is True for Linear Matroids

We prove a $1/e$ guarantee for the matroid secretary problem on linear matroids, therefore settling the strong secretary conjecture in this class of matroids. The result holds both when the matroid is known in advance and when a linear representation over a finite field is given online. In the known-matroid model, the...

Kristóf Bérczi, S. Dughmi, V. Livanos et al. · 5 citations

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