On finite Δ-systems II

✍ Scribed by H.L. Abbott; D. Hanson

• Publisher: Elsevier Science
• Year: 1977
• Tongue: English
• Weight: 609 KB
• Volume: 17
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(77)90139-x

✦ Synopsis

A J(4) system is a family ~9 of k distinct sets which have pairwise the same intersection A weak 3 (k ) system is a family 9 of k distinct sets such that j b n G i = t for some non-negative integer I and all F. G E 9. Fr' G. In this paper we study some functrons related to these j -systems In particular a (n, k ) = max { 1 F I : i F : = nV.FE 9, SZr weak 3(k)) then a(3,3) = IO, a(m + n. k)~ a(m. k)cr(n, k) and ar(n, 3) > cS"'*.