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» The three dimensions of proofs
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APAL
2006
49views more  APAL 2006»
13 years 5 months ago
The three dimensions of proofs
Yves Guiraud
JCT
2011
89views more  JCT 2011»
12 years 12 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
13 years 11 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
13 years 11 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 6 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