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math.OC2026
When Natural Variables Are Not Enough: Teaching Integer Programming with Sudoku
Aled Williams
Sudoku is a compact and familiar setting for teaching a surprisingly deep lesson in integer linear programming, namely that the most natural decision variables are not always enoug…
math.MG2026
Mixed Minkowski-Covering Inequalities for Convex Bodies and Lattices
Aled Williams
In this paper we present a sharp mixed inequality relating successive minima and quotient covering radii of origin-symmetric convex bodies with respect to lattices. The inequality…