An O(n^2) optimal algorithm for cardinality-constrained diameter partitioning via reduction to bottleneck 2-coloring and tree DP on the maximum spanning tree, with a matching lower bound.
Agarwal, Herbert Edelsbrunner, Otfried Schwarzkopf, and Emo Welzl
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An Optimal Algorithm for Cardinality-Constrained Diameter Partitioning
An O(n^2) optimal algorithm for cardinality-constrained diameter partitioning via reduction to bottleneck 2-coloring and tree DP on the maximum spanning tree, with a matching lower bound.