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math.CO2023
Large Convex sets in Difference sets
Krishnendu Bhowmick, Ben Lund, Oliver Roche-Newton
We give a construction of a convex set with cardinality such that contains a convex subset with cardinality . We also consider the following…
math.CO2014★ 4 cited
Bisector energy and few distinct distances
Ben Lund, Adam Sheffer, Frank de Zeeuw
We introduce the bisector energy of an -point set in , defined as the number of quadruples from such that and determine the same perpen…