It is well known that it is an ill-posed problem to decide whether a function has a multiple root. Even for a univariate polynomial an arbitrary small perturbation of a polynomial ...
A tournament T = (V, A) is a directed graph in which there is exactly one arc between every pair of distinct vertices. Given a digraph on n vertices and an integer parameter k, th...
We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
Impagliazzo and Wigderson IW97] have recently shown that if there exists a decision problem solvable in time 2O(n) and having circuit complexity 2 (n) (for all but nitely many n) ...
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...