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math.CO2021★ 1 cited
Inclusion and Intersection Relations Between Fundamental Classes of Discrete Convex Functions
Satoko Moriguchi, Kazuo Murota
In discrete convex analysis, various convexity concepts are considered for discrete functions such as separable convexity, L-convexity, M-convexity, integral convexity, and multimo…
math.CO2021
Note on the Polyhedral Description of the Minkowski Sum of Two L-convex Sets
Satoko Moriguchi, Kazuo Murota
L-convex sets are one of the most fundamental concepts in discrete convex analysis. Furthermore, the Minkowski sum of two L-convex sets, called L2-convex sets, is an intriguing obj…
math.CO2017★ 1 cited
Scaling, Proximity, and Optimization of Integrally Convex Functions
Satoko Moriguchi, Kazuo Murota, Akihisa Tamura +1
In discrete convex analysis, the scaling and proximity properties for the class of L-convex functions were established more than a decade ago and have been used to desig…