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cs.CG2025
The Road to the Closest Point is Paved by Good Neighbors
Sariel Har-Peled, Benjamin Raichel, Eliot W. Robson
Given a set of points in , and a parameter , we present a new construction of a directed graph , of size $O…
cs.CG2025
Well-Separated Pairs Decomposition Revisited
Sariel Har-Peled, Benjamin Raichel, Eliot W. Robson
We revisit the notion of WSPD (i.e., well-separated pairs-decomposition), presenting a new construction of WSPD for any finite metric space, and show that it is asymptotically inst…
cs.CG2025
Improving the average dilation of a metric graph by adding edges
Sariel Har-Peled, Eliot W. Robson
For a graph spanning a metric space, the dilation of a pair of points is the ratio of their distance in the shortest path graph metric to their distance in the metric space. Gi…