Joseph Briggs

activity

20242026

collaborators

3 papers

math.DG2026

A discrete view of Gromov's filling area conjecture

Joseph Briggs, Chris Wells

A compact metric surface $M$ isometrically fills a closed metric curve $C$ if $\partial M = C$ and $d_{M} (x, y) = d_{C} (x, y)$ for every $x, y \in C = \partial M$ ; that is, $M$ does not introduc…

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…

A discrete view of Gromov's filling area conjecture

Degree sequences realizing labelled perfect matchings

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

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