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math.MG2024
Lower Bounding the Gromov--Hausdorff distance in Metric Graphs
Henry Adams, Sushovan Majhi, Fedor Manin +2
Let be a finite, connected metric graph and let be a subset. If is sufficiently dense in , we show that the Gromov--Hausdorff distance matches the Hausdor…
math.MG2023
Hausdorff vs Gromov-Hausdorff distances
Henry Adams, Florian Frick, Sushovan Majhi +1
Let be a closed Riemannian manifold and let . If the sample is sufficiently dense relative to the curvature of , then the Gromov-Hausdorff distance between…
math.MG2019★ 12 cited
Approximating Gromov-Hausdorff Distance in Euclidean Space
Sushovan Majhi, Jeffrey Vitter, Carola Wenk
The Gromov-Hausdorff distance proves to be a useful distance measure between shapes. In order to approximate for compact subsets , we lo…