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math.MG2023★ 1 cited
Convexity, Elementary Methods, and Distances
Oliver Roche-Newton, Dmitrii Zhelezov
This paper considers an extremal version of the Erdős distinct distances problem. For a point set , let denote the set of all Euclidean distances dete…
math.MG2016★ 1 cited
On sets with few distinct distances
Oliver Roche-Newton
It is widely believed that point sets in the plane which determine few distinct distances must have some special structure. In particular, such sets are believed to be similar to a…