Article ID Journal Published Year Pages File Type
4656210 Journal of Combinatorial Theory, Series A 2009 9 Pages PDF
Abstract

A family of sets F⊆X2 is defined to be l-trace k-Sperner if for any subset Y of X with size l the trace of F on Y (the restriction of F to Y) does not contain any chain of length k+1. In this paper we investigate the maximum size that an l-trace k-Sperner family (with underlying set [n]={1,2,…,n}) can have for various values of k, l and n.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics