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math.CO2026
Sharp Bounds on the Number of Small Cuts
Chao Xu, Mingdong Yang
Let be the minimum cut value of an -vertex undirected multigraph. For every fixed , we prove that there are cuts of size strictly below .…
cs.DS2026
An Optimal Algorithm for Cardinality-Constrained Diameter Partitioning
Chao Xu, Mingdong Yang
Cardinality-constrained diameter partitioning asks for a partition of items into two classes of prescribed sizes that minimizes the larger of the two class diameters. We give a…