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» A Lower Bound for Primality
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FOCS
1993
IEEE
15 years 4 months ago
A Tight Lower Bound for k-Set Agreement
: Weprove tight bounds on the time needed to solve k-set agreement, a natural generalization of consensus. We analyze this problem in a synchronous, message-passing model where pro...
Soma Chaudhuri, Maurice Herlihy, Nancy A. Lynch, M...
CRYPTO
2005
Springer
116views Cryptology» more  CRYPTO 2005»
15 years 5 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
15 years 4 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»
14 years 12 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»
14 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