The Cameron-Liebler problem for sets
Combinatorics
2016-01-15 v1
Abstract
Cameron-Liebler line classes and Cameron-Liebler k-classes in PG(2k+1,q) are currently receiving a lot of attention. Links with the Erd\H{o}s-Ko-Rado results in finite projective spaces occurred. We introduce here in this article the similar problem on Cameron-Liebler classes of sets, and solve this problem completely, by making links to the classical Erd\H{o}s-Ko-Rado result on sets. We also present a characterisation theorem for the Cameron-Liebler classes of sets.
Keywords
Cite
@article{arxiv.1601.03628,
title = {The Cameron-Liebler problem for sets},
author = {Maarten De Boeck and Leo Storme and Andrea Švob},
journal= {arXiv preprint arXiv:1601.03628},
year = {2016}
}