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cs.CG2021
Coresets for -median clustering under Fréchet and Hausdorff distances
Abhinandan Nath
We give algorithms for computing coresets for -approximate -median clustering of polygonal curves (under the discrete and continuous Fréchet distance) and point…
cs.CG2020
k-Median clustering under discrete Fréchet and Hausdorff distances
Abhinandan Nath, Erin Taylor
We give the first near-linear time $(1+\eps)$-approximation algorithm for -median clustering of polygonal trajectories under the discrete Fréchet distance, and the first polynom…
cs.CG2015★ 7 cited
Computing the Gromov-Hausdorff Distance for Metric Trees
Pankaj K. Agarwal, Kyle Fox, Abhinandan Nath +2
The Gromov-Hausdorff (GH) distance is a natural way to measure distance between two metric spaces. We prove that it is -hard to approximate the Gromov-Hausdorff distan…