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Projection and convolution operations for integrally convex functions

  • Published:2019-02 Issue: Volume:255 Page:283-298
  • ISSN:0166-218X
  • Container-title:Discrete Applied Mathematics
  • language:en
  • Short-container-title:Discrete Applied Mathematics

Author:

Moriguchi SatokoORCID,Murota KazuoORCID

Funder

The Mitsubishi Foundation

CREST

JST

JSPS KAKENHI

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference18 articles.

1. Convexity in nonlinear integer programming;Favati;Ricerca Oper.,1990

2. Bisubmodular polyhedra, simplicial divisions, and discrete convexity;Fujishige;Discrete Optim.,2014

3. Notes on L-/M-convex functions and the separation theorems;Fujishige;Math. Program.,2000

4. Fundamentals of Convex Analysis;Hiriart-Urruty,2001

5. Discrete modeling of economic equilibrium problems;Iimura;Pac. J. Optim.,2010

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1. Decomposition of an integrally convex set into a Minkowski sum of bounded and conic integrally convex sets;Japan Journal of Industrial and Applied Mathematics;2023-12-16

2. INCLUSION AND INTERSECTION RELATIONS BETWEEN FUNDAMENTAL CLASSES OF DISCRETE CONVEX FUNCTIONS;Journal of the Operations Research Society of Japan;2023-07-31

3. Recent progress on integrally convex functions;Japan Journal of Industrial and Applied Mathematics;2023-04-27

4. Discrete Fenchel duality for a pair of integrally convex and separable convex functions;Japan Journal of Industrial and Applied Mathematics;2022-02-02

5. On basic operations related to network induction of discrete convex functions;Optimization Methods and Software;2020-09-15
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