2 citations · 2 across the 7 of their papers we have counts for
7 papers
Isoperimetric Inequalities in the cube and torus
Ben Baker, Joseph Briggs, Manuel Fernandez +1
We prove an exact isoperimetric inequality for cubes and tori under the $\ell_{\infty} metric. As a corollary, we recover the celebrated grid edge-isoperimetric inequality of Bollo…
A finite victory over de Bruijn-Erdős in interval discrepancy
Jared DeLeo, Owen Henderschedt, Chris Wells
We study a finite form of the classical interval discrepancy problem. Starting from the unit interval, one repeatedly splits an existing interval into two until intervals have…
A discrete view of Gromov's filling area conjecture
Joseph Briggs, Chris Wells
A compact metric surface isometrically fills a closed metric curve if and for every ; that is, does not introduc…
Facets in the Vietoris--Rips complexes of hypercubes
Joseph Briggs, Ziqin Feng, Chris Wells
In this paper, we investigate the facets of the Vietoris--Rips complex where denotes the -dimensional hypercube. We are particularly interested in t…
Frogs, hats and common subsequences
Joseph Briggs, Alex Parker, Coy Schwieder +1
Write to mean the -letter word obtained by repeating a fixed word and let denote a uniformly random -letter word sampled from the same alphabet as . We…
Phase transitions in isoperimetric problems on the integers
Joseph Briggs, Chris Wells
Barber and Erde asked the following question: if generates as an additive group, then must the extremal sets for the vertex/edge-isoperimetric inequality on the C…
The maximum number of odd cycles in a planar graph
Emily Heath, Ryan R. Martin, Chris Wells
How many copies of a fixed odd cycle, , can a planar graph contain? We answer this question asymptotically for and prove a bound which is tight up to a fa…