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DCG
2002
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14 years 10 months ago
The Unit Distance Problem for Centrally Symmetric Convex Polygons
Let f(n) be the maximum number of unit distances determined by the vertices of a convex n-gon. Erdos and Moser conjectured that this function is linear. Supporting this conjecture...
Bernardo M. Ábrego, Silvia Fernández...
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DCG
2002
81views more  DCG 2002»
14 years 10 months ago
Separoids, Their Categories and a Hadwiger-Type Theorem for Transversals
In this paper we study the topology of transversals to a family of convex sets as a subset of a Grassmanian manifold. This topology seems to be ruled by a combinatorial structure w...
Jorge L. Arocha, Javier Bracho, Luis Montejano, D....