Výsledky vyhledávání - "Shan, Yunjing"

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$d$-Degree Erd\H{o}s-Ko-Rado theorem for finite vector spaces

Let $V$ be an $n$-dimensional vector space over the finite field $\mathbb{F}_{q}$ and let $\left[V\atop k\right]_q$ denote the family of all $k$-dimensional subspaces of $V$. A family $\mathcal{F}\subseteq \left[V\atop k\right]_q$ is called intersect

Externí odkaz: http://arxiv.org/abs/2411.17985

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On cover-free families of finite vector spaces

Autor: Shan, Yunjing, Zhou, Junling

There is a large literature on cover-free families of finite sets, because of their many applications in combinatorial group testing, cryptographic and communications. This work studies the generalization of cover-free families from sets to finite ve

Externí odkaz: http://arxiv.org/abs/2407.20614

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Suboptimal $s$-union familes and $s$-union antichains for vector spaces

Autor: Shan, Yunjing, Zhou, Junling

Let $V$ be an $n$-dimensional vector space over the finite field $\mathbb{F}_{q}$, and let $\mathcal{L}(V)=\bigcup_{0\leq k\leq n}\left[V\atop k\right]$ be the set of all subspaces of $V$. A family of subspaces $\mathcal{F}\subseteq \mathcal{L}(V)$ i

Externí odkaz: http://arxiv.org/abs/2207.06727

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