Lower Bounding the Gromov--Hausdorff distance in Metric Graphs

Henry Adams, Sushovan Majhi, Fedor Manin +2

Let $G$ be a finite, connected metric graph and let $X\subseteq G$ be a subset. If $X$ is sufficiently dense in $G$, we show that the Gromov--Hausdorff distance matches the Hausdor…