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ARSCOM
2008
103views more  ARSCOM 2008»
13 years 7 months ago
Estimating the number of graphs containing very long induced paths
Let P(n, k) denote the number of graphs on n + k vertices that contain Pn, a path on n vertices, as an induced subgraph. In this note we will find upper and lower bounds for P(n, ...
Steven Butler
STOC
2005
ACM
101views Algorithms» more  STOC 2005»
14 years 7 months ago
Lower bounds for k-DNF resolution on random 3-CNFs
We prove exponential lower bounds for the refutation of a random 3-CNF with linear number of clauses by k-DNF Resolution for k log n/ log log n. For this we design a specially ta...
Michael Alekhnovich
ISAAC
2003
Springer
129views Algorithms» more  ISAAC 2003»
14 years 17 days ago
Lower Bounds on Correction Networks
Abstract. Correction networks are comparator networks that sort inputs differing from sorted sequences of length N in a small number of positions. The main application of such netw...
Grzegorz Stachowiak
TCC
2005
Springer
77views Cryptology» more  TCC 2005»
14 years 26 days ago
Upper and Lower Bounds on Black-Box Steganography
We study the limitations of steganography when the sender is not using any properties of the underlying channel beyond its entropy and the ability to sample from it. On the negati...
Nenad Dedic, Gene Itkis, Leonid Reyzin, Scott Russ...
ENDM
2008
101views more  ENDM 2008»
13 years 7 months ago
A central approach to bound the number of crossings in a generalized configuration
A generalized configuration is a set of n points and n 2 pseudolines such that each pseudoline passes through exactly two points, two pseudolines intersect exactly once, and no th...
Bernardo M. Ábrego, Silvia Fernández...