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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 .…
math.CO2023
On the Congruency-Constrained Matroid Base
Siyue Liu, Chao Xu
Consider a matroid where all elements are labeled with an element in . We are interested in finding a base where the sum of the labels is congruent to . We s…