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On the VC-dimension of half-spaces with respect to convex sets

A family S of convex sets in the plane defines a hypergraph H = (S, E) as follows. Every subfamily S' of S defines a hyperedge of H if and only if there exists a halfspace h that fully contains S' , and no other set of S is fully contained in h. In this case, we say that h realizes S'. We say a set...

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Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Nicolas Grelier, Saeed Gh. Ilchi, Tillmann Miltzow, Shakhar Smorodinsky
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: Discrete Mathematics & Theoretical Computer Science 2021-08-01
Saila:Discrete Mathematics & Theoretical Computer Science
Gaiak:
Sarrera elektronikoa:https://dmtcs.episciences.org/6631/pdf
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