William Linz

collaborators

3 papers

math.CO2026

Set systems containing no singleton intersection and the Delsarte number

William Linz

We prove that the maximum size of a family of $k$ -element subsets of the set $[n] = {1, 2, \dots, n}$ which contains no singleton intersection is $(k - 2 n - 2)$ when $3k-3 \…

math.CO2025

A remark on the $t$ -intersecting Erdős-Ko-Rado theorem

William Linz

The $t$ -intersecting Erdős-Ko-Rado theorem is the following statement: if $F \subset (k [ n ])$ is a $t$ -intersecting family of sets and $n \geq (t + 1) (k - t + 1)$ , then $|…

math.CO2025

Spectral radius and Hamiltonicity of uniform hypergraphs

George Brooks, William Linz, Ruth Luo

Let $n$ and $r$ be integers with $n - 2 \geq r \geq 3$ . We prove that any $r$ -uniform hypergraph $H$ on $n$ vertices with spectral radius $λ (H) > (r - 1 n - 2)$ mu…

Set systems containing no singleton intersection and the Delsarte number

A remark on the t-intersecting Erdős-Ko-Rado theorem

Spectral radius and Hamiltonicity of uniform hypergraphs

A remark on the $t$ -intersecting Erdős-Ko-Rado theorem