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» The three dimensions of proofs
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APAL
2006
49views more  APAL 2006»
13 years 8 months ago
The three dimensions of proofs
Yves Guiraud
JCT
2011
89views more  JCT 2011»
13 years 3 months ago
On lines, joints, and incidences in three dimensions
We extend (and somewhat simplify) the algebraic proof technique of Guth and Katz [7], to obtain several sharp bounds on the number of incidences between lines and points in three ...
György Elekes, Haim Kaplan, Micha Sharir
FOCS
2008
IEEE
14 years 3 months ago
On the Union of Cylinders in Three Dimensions
We show that the combinatorial complexity of the union of n infinite cylinders in R3 , having arbitrary radii, is O(n2+ε ), for any ε > 0; the bound is almost tight in the w...
Esther Ezra
FOCS
2006
IEEE
14 years 2 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
SIROCCO
2010
13 years 10 months ago
Average Long-Lived Memoryless Consensus: The Three-Value Case
Abstract. We study strategies that minimize the instability of a faulttolerant consensus system. More precisely, we find the strategy than minimizes the number of output changes ov...
Ivan Rapaport, Eric Rémila