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» Two lower bounds for self-assemblies at temperature 1
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COMBINATORICS
1999
83views more  COMBINATORICS 1999»
14 years 9 months ago
New Lower Bounds for Some Multicolored Ramsey Numbers
In this article we use two different methods to find new lower bounds for some multicolored Ramsey numbers. In the first part we use the finite field method used by Greenwood and ...
Aaron Robertson
90
Voted
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
15 years 9 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
MST
2010
121views more  MST 2010»
14 years 7 months ago
Entropy of Operators or why Matrix Multiplication is Hard for Depth-Two Circuits
We consider unbounded fanin depth-2 circuits with arbitrary boolean functions as gates. We define the entropy of an operator f : {0, 1}n → {0, 1}m as the logarithm of the maximu...
Stasys Jukna
CORR
2011
Springer
169views Education» more  CORR 2011»
14 years 4 months ago
Lower bound for deterministic semantic-incremental branching programs solving GEN
We answer a problem posed in [GKM08] regarding a restricted model of small-space computation, tailored for solving the GEN problem. They define two variants of “incremental bra...
Dustin Wehr
SAT
2007
Springer
118views Hardware» more  SAT 2007»
15 years 3 months ago
Improved Lower Bounds for Tree-Like Resolution over Linear Inequalities
Abstract. We continue a study initiated by Kraj´ıˇcek of a Resolutionlike proof system working with clauses of linear inequalities, R(CP). For all proof systems of this kind Kra...
Arist Kojevnikov