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arxiv: 2409.03026 · v2 · pith:NNHCONFPnew · submitted 2024-09-04 · 🧮 math.CO

Matroid colorings of KKM covers

classification 🧮 math.CO
keywords matroidtheoremcoloredcolorfulcoloringscoveringscoversfamilies
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We prove a KKM-type theorem for matroid colored families of set coverings of a polytope. This generalizes Gale's colorful KKM theorem as well as recent sparse-colorful variants by Sober\'on, and McGinnis and Zerbib.

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