2 papers
math.OC2025
Two Proofs of a Structural Theorem of Decreasing Minimization on Integrally Convex Sets
Kazuo Murota, Akihisa Tamura
This paper gives two different proofs to a structural theorem of decreasing minimization (lexicographic optimization) on integrally convex sets. The theorem states that the set of…
math.CO2024
Note on Minkowski Summation and Unimodularity in Discrete Convex Analysis
Kazuo Murota, Akihisa Tamura
This short note gives an elementary alternative proof for a theorem of Danilov and Koshevoy on Minkowski summation and unimodularity in discrete convex analysis. It is intended to…