Intersection theorems for $(-1,0,1)$-vectors
Combinatorics
2020-04-21 v1 Discrete Mathematics
Abstract
In this paper, we investigate Erd\H os--Ko--Rado type theorems for families of vectors from with fixed numbers of 's and 's. Scalar product plays the role of intersection size. In particular, we sharpen our earlier result on the largest size of a family of such vectors that avoids the smallest possible scalar product. We also obtain an exact result for the largest size of a family with no negative scalar products.
Cite
@article{arxiv.2004.08721,
title = {Intersection theorems for $(-1,0,1)$-vectors},
author = {Peter Frankl and Andrey Kupavskii},
journal= {arXiv preprint arXiv:2004.08721},
year = {2020}
}