Intersection theorems under dimension constraints

In [8] we posed a series of extremal (set system) problems under dimension constraints. In the present paper we study one of them: the intersection problem. The geometrical formulation of our problem is as follows. Given integers 0 t, k n determine or estimate the maximum number of (0, 1)

• Type: Journal
• Year: 2006
• Where: JCT
• Authors: Rudolf Ahlswede, Harout K. Aydinian, Levon H. Khachatrian
• Keywords: Dimension Constraint, Euclidean N­space Rn, Intersection Problem, JCT 2006