Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
It is well known that there is a sharp density threshold for a random r-SAT formula to be satisfiable, and a similar, smaller, threshold for it to be satisfied by the pure literal ...
Let A and B be hypergraphs with a common vertex set V . In a (p, q, A ∪ B) Bart-Moe game, the players take turns selecting previously unclaimed vertices of V . The game ends whe...
Dan Hefetz, Michael Krivelevich, Tibor Szabó...
: Ahlswede and Winter [IEEE Trans. Inf. Th. 2002] introduced a Chernoff bound for matrix-valued random variables, which is a non-trivial generalization of the usual Chernoff bound ...
An Avoider-Enforcer game is played by two players, called Avoider and Enforcer, on a hypergraph F ⊆ 2X . The players claim previously unoccupied elements of the board X in turns...
Dan Hefetz, Michael Krivelevich, Milos Stojakovic,...