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» Martin's game: a lower bound for the number of sets
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CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 24 days ago
Lower bounds on the obstacle number of graphs
Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices ...
Padmini Mukkamala, János Pach, Döm&oum...
COMBINATORICS
2000
87views more  COMBINATORICS 2000»
13 years 5 months ago
Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers
We give new lower bounds for the Schur numbers S(6) and S(7). This will imply new lower bounds for the Multicolor Ramsey Numbers R6(3) and R7(3). We also make several observations...
Harold Fredricksen, Melvin M. Sweet
PODS
2006
ACM
95views Database» more  PODS 2006»
14 years 6 months ago
Randomized computations on large data sets: tight lower bounds
We study the randomized version of a computation model (introduced in [9, 10]) that restricts random access to external memory and internal memory space. Essentially, this model c...
André Hernich, Martin Grohe, Nicole Schweik...
ECCC
2010
103views more  ECCC 2010»
13 years 21 days ago
A note on exponential circuit lower bounds from derandomizing Arthur-Merlin games
We present an alternate proof of the recent result by Gutfreund and Kawachi that derandomizing Arthur-Merlin games into PNP implies linear-exponential circuit lower bounds for ENP...
Scott Aaronson, Baris Aydinlioglu, Harry Buhrman, ...
DAM
2007
84views more  DAM 2007»
13 years 5 months ago
Estimates of covering numbers of convex sets with slowly decaying orthogonal subsets
Covering numbers of precompact symmetric convex subsets of Hilbert spaces are investigated. Lower bounds are derived for sets containing orthogonal subsets with norms of their ele...
Vera Kurková, Marcello Sanguineti