A trichotomy theorem shows that the logarithmic scale of cumulative cut strength determines whether cuts prove all, part, or none of the target bound in minimal branch-and-cut trees.
Learning to use local cuts.Mathematical Programming Computation, 17(3):437–450, 2025
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Sharp Logarithmic Thresholds for Cut Schedules in an Abstract Branch-and-Cut Model
A trichotomy theorem shows that the logarithmic scale of cumulative cut strength determines whether cuts prove all, part, or none of the target bound in minimal branch-and-cut trees.