Junling Zhou

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math.CO2024

$d$ -Degree ErdÅs-Ko-Rado theorem for finite vector spaces

Yunjing Shan, Junling Zhou

Let $V$ be an $n$ -dimensional vector space over the finite field $F_{q}$ and let $[k V]_{q}$ denote the family of all $k$ -dimensional subspaces of $V$ . A fam…

math.CO2024

On cover-free families of finite vector spaces

Yunjing Shan, Junling Zhou

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 st…

d-Degree ErdÅs-Ko-Rado theorem for finite vector spaces

On cover-free families of finite vector spaces

$d$ -Degree ErdÅs-Ko-Rado theorem for finite vector spaces