For a prime p and a vector ¯α = (α1, . . . , αk) ∈ Zk p let f (¯α, p) be the largest n such that in each set A ⊆ Zp of n elements one can find x which has a unique repr...
A k-majority tournament T on a finite vertex set V is defined by a set of 2k - 1 linear orderings of V, with u v if and only if u lies above v in at least k of the orders. Motiva...
Noga Alon, Graham Brightwell, Hal A. Kierstead, Al...
For an integer k > 0, a graph G is k-triangular if every edge of G lies in at least k distinct 3-cycles of G. In (J Graph Theory 11:399–407 (1987)), Broersma and Veldman propo...
Abstract--This paper discusses new bounds for restricted isometry constants in compressed sensing. Let 8be an n2p real matrix and k be a positive integer with k n. One of the main...
We call a CNF formula linear if any two clauses have at most one variable in common. We show that there exist unsatisfiable linear k-CNF formulas with at most 4k2 4k clauses, and ...