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EJC
2007
13 years 5 months ago
Partial linear spaces built on hexagons
3 We define four families of geometries with as point graph the graph — or its complement — of all elliptic 4 hyperplanes of a given parabolic quadric in any finite 6-dimensi...
Alice Devillers, Hendrik Van Maldeghem
FOCS
2009
IEEE
14 years 15 days ago
KKL, Kruskal-Katona, and Monotone Nets
We generalize the Kahn-Kalai-Linial (KKL) Theorem to random walks on Cayley and Schreier graphs, making progress on an open problem of Hoory, Linial, and Wigderson. In our general...
Ryan O'Donnell, Karl Wimmer
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 11 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
CORR
2011
Springer
175views Education» more  CORR 2011»
13 years 23 days ago
A Matrix Hyperbolic Cosine Algorithm and Applications
Wigderson and Xiao presented an efficient derandomization of the matrix Chernoff bound using the method of pessimistic estimators [WX08]. Building on their construction, we prese...
Anastasios Zouzias
RSA
2008
89views more  RSA 2008»
13 years 5 months ago
Simple permutations mix even better
We study the random composition of a small family of O(n3 ) simple permutations on {0, 1}n . Specifically we ask how many randomly selected simple permutations need be composed to...
Alex Brodsky, Shlomo Hoory