Extremal $t$-intersecting families for direct products
Combinatorics
2020-04-01 v1
Abstract
In this paper, by shifting technique we study -intersecting families for direct products where the ground set is divided into several parts. Assuming the size of each part is sufficiently large, we determine all extremal -intersecting families for direct products. We also prove that every largest -intersecting subfamily of a more general family introduced by Katona is trivial under certain conditions.
Keywords
Cite
@article{arxiv.2003.13877,
title = {Extremal $t$-intersecting families for direct products},
author = {Tian Yao and Benjian Lv and Kaishun Wang},
journal= {arXiv preprint arXiv:2003.13877},
year = {2020}
}