A note on supersaturated set systems

作者:Frankl Peter*; Kohayakawa Yoshiharu; Roedl Vojtech
来源:European Journal of Combinatorics, 2016, 51: 190-199.
DOI:10.1016/j.ejc.2015.03.028

摘要

A well-known theorem of Era's, Ko and Rado implies that any family F of k-element subsets of an n-element set with more than (n-t k-t) members must contain two members F and F' with vertical bar F boolean AND F'vertical bar < t, as long as n is sufficiently large with respect to k and t. We investigate how many such pairs (F, F') is an element of F x F there must be in any such family F with vertical bar F vertical bar = alpha (n-t k-t) and alpha > 1.

  • 出版日期2016-1

全文