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COMPGEOM
2010
ACM
13 years 9 months ago
Incidences in three dimensions and distinct distances in the plane
d Abstract] György Elekes Eötvös University Micha Sharir Tel Aviv University and New York University We first describe a reduction from the problem of lower-bounding the numbe...
György Elekes, Micha Sharir
STOC
2003
ACM
117views Algorithms» more  STOC 2003»
14 years 4 months ago
Distinct distances in three and higher dimensions
Improving an old result of Clarkson et al., we show that the number of distinct distances determined by a set P of n points in three-dimensional space is (n77/141) = (n0.546 ), fo...
Boris Aronov, János Pach, Micha Sharir, G&a...