5 citations · 9 across the 12 of their papers we have counts for
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math.MG2017★ 5 cited
Discrete Midpoint Convexity
Satoko Moriguchi, Kazuo Murota, Akihisa Tamura +1
For a function defined on a convex set in a Euclidean space, midpoint convexity is the property requiring that the value of the function at the midpoint of any line segment is not…
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…