Joseph Briggs

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20242026

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math.CO2025

Degree sequences realizing labelled perfect matchings

Joseph Briggs, Jessica McDonald, Songling Shan

Let $n \in N$ and $d_{1} \geq d_{2} \geq d_{n} \geq 1$ be integers. There is characterization of when $(d_{1}, d_{1}, \dots, d_{n})$ is the degree sequence of a graph containing a perf…

math.CO2024

A Proof of the $(n, k, t)$ -Conjectures

Stacie Baumann, Joseph Briggs

An \emph{ $(n, k, t)$ -graph} is a graph on $n$ vertices in which every set of $k$ vertices contains a clique on $t$ vertices. TurÃ¡n's Theorem, rephrased in terms of graph complements…

Degree sequences realizing labelled perfect matchings

A Proof of the (n,k,t)-Conjectures

A Proof of the $(n, k, t)$ -Conjectures