We show that an $x$-tight set of the Hermitian polar spaces $\mathrm{H}(4,q^2)$ and $\mathrm{H}(6,q^2)$ respectively, is the union of $x$ disjoint generators of the polar space provided that $x$ is small compared to $q$. For $\mathrm{H}(4,q^2)$ we need the bound $x and we can show that this bound is sharp.
@article{10_37236_6461,
author = {Jan De Beule and Klaus Metsch},
title = {On the smallest non-trivial tight sets in {Hermitian} polar spaces},
journal = {The electronic journal of combinatorics},
year = {2017},
volume = {24},
number = {1},
doi = {10.37236/6461},
zbl = {1368.51003},
url = {http://geodesic.mathdoc.fr/articles/10.37236/6461/}
}
TY - JOUR
AU - Jan De Beule
AU - Klaus Metsch
TI - On the smallest non-trivial tight sets in Hermitian polar spaces
JO - The electronic journal of combinatorics
PY - 2017
VL - 24
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/6461/
DO - 10.37236/6461
ID - 10_37236_6461
ER -
%0 Journal Article
%A Jan De Beule
%A Klaus Metsch
%T On the smallest non-trivial tight sets in Hermitian polar spaces
%J The electronic journal of combinatorics
%D 2017
%V 24
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/6461/
%R 10.37236/6461
%F 10_37236_6461
Jan De Beule; Klaus Metsch. On the smallest non-trivial tight sets in Hermitian polar spaces. The electronic journal of combinatorics, Tome 24 (2017) no. 1. doi: 10.37236/6461
