The regularity lemma of Szemer´edi gives a concise approximate description of a graph via a so called regular-partition of its vertex set. In this paper we address the following ...
The neighborhood of a pair of vertices u, v in a triple system is the set of vertices w such that uvw is an edge. A triple system H is semi-bipartite if its vertex set contains a ...
The characteristic sequence of hypergraphs Pn : n < associated to a formula (x; y), introduced in [5], is defined by Pn(y1, . . . yn) = (x) in (x; yi). We continue the study o...
Abstract. We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to measure how much a given graph...
We study thresholds for Ramsey properties of random discrete structures. In particular, we determine the threshold for Rado’s theorem for solutions of partition regular systems o...