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, ...
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...
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...
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...
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...