Matthew Romney

collaborators

2 papers

math.MG2026

Metric geodesic covers of graphs

Jerry Chen, Kyle Hess, Matthew Romney

We study the problem of finding, for a given one-dimensional topological space $X$ , a cover of $X$ of smallest size by geodesics with respect to some metric. The infimal size of su…

math.MG2024

Graphs that are not minimal for conformal dimension

Matthew Romney

We construct functions $f : [0, 1] \to [0, 1]$ whose graph as a subset of $R^{2}$ has Hausdorff dimension greater than any given value $I^\pm \in (1, 2)$ but conformal dimensi…