Author

Yu Cong

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Preprint Sep 2026

Integrality-Gap Bounds for Weighted Matchoids and Matroid Intersection

The weighted $k$-matroid intersection problem asks for a maximum-weight set that is independent in each of $k$ matroids on a common ground set. The natural LP relaxation optimizes over the intersection of the $k$ matroid independent set polytopes. It is conjectured that this LP has integrality gap at most $k-1$. The co...

Yu Cong, Ya-Jie Zhao · 0 citations

Preprint Aug 2026

Derandomizing Karger's Contraction Algorithm for Matroids

Karger's randomized contraction algorithm finds a minimum-weight cocircuit of a matroid whenever the cogirth-density ratio is bounded. We prove that the same hypothesis yields a deterministic algorithm with the same exponent. If every contraction minor of rank at least $r_0$ of a matroid $M$ has cogirth-density ratio a...

Yu Cong, Chao Xu, Ya-Jie Zhao · 0 citations