2-bases of Quadruples

Füredi, Zoltán and Katona, Gyula (2006) 2-bases of Quadruples. COMBINATORICS PROBABILITY AND COMPUTING, 15 (1-2). pp. 131-141. ISSN 0963-5483

Text paper_105.pdf Restricted to Registered users only Download (351kB) | Request a copy

Abstract

Let Beta(n, <= 4) denote the subsets of [n] := {1, 2,..., n} of at most 4 elements. Suppose that F is a set system with the property that every member of B can be written as a union of (at most) two members of F. (Such an F is called a 2-base of B.) Here we answer a question of Erdos proving that [GRAPHICS] and this bound is best possible for n >= 8.

Actions (login required)

Edit Item