On the Smallest Non-Trivial Tight Sets in Hermitian Polar Spaces

Author:

De Beule Jan,Metsch Klaus

Abstract

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 $x<q+1$ and we can show that this bound is sharp.

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On tight sets of hyperbolic quadrics;European Journal of Combinatorics;2023-06

2. On intriguing sets in five classes of strongly regular graphs;Journal of Combinatorial Designs;2022-02-25

3. On the smallest non-trivial tight sets in Hermitian polar spacesH(d,q2),deven;Discrete Mathematics;2019-05

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