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CRYPTO
2005
Springer
116views Cryptology» more  CRYPTO 2005»
14 years 4 months ago
New Monotones and Lower Bounds in Unconditional Two-Party Computation
Since bit and string oblivious transfer and commitment, two primitives of paramount importance in secure two- and multi-party computation, cannot be realized in an unconditionally ...
Stefan Wolf, Jürg Wullschleger
COLT
1994
Springer
14 years 3 months ago
Lower Bounds on the VC-Dimension of Smoothly Parametrized Function Classes
We examine the relationship between the VCdimension and the number of parameters of a smoothly parametrized function class. We show that the VC-dimension of such a function class ...
Wee Sun Lee, Peter L. Bartlett, Robert C. Williams...
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 11 months ago
A New Lower Bound on the Density of Vertex Identifying Codes for the Infinite Hexagonal Grid
Given a graph G, an identifying code D V (G) is a vertex set such that for any two distinct vertices v1, v2 V (G), the sets N[v1] D and N[v2] D are distinct and nonempty (here...
Daniel W. Cranston, Gexin Yu
IANDC
2007
66views more  IANDC 2007»
13 years 11 months ago
Exponential lower bounds for the number of words of uniform length avoiding a pattern
We study words on a finite alphabet avoiding a finite collection of patterns. Given a pattern p in which every letter that occurs in p occurs at least twice, we show that the nu...
Jason P. Bell, Teow Lim Goh
JACM
2002
122views more  JACM 2002»
13 years 10 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer