2005/01/01 by Kazuo Murota, Murota, Kazuo
Computer Science · #Advanced Graph Theory Research #Complexity and Algorithms in Graphs #Computational Geometry and Mesh Generation #Fenchel-Legendre transformation #M-convex function #discrete convex functions #gross substitute
paper · doi:10.4230/dagsemproc.05011.10
openalex publication_date 2005/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This talk describes fundamental properties of M-convex and L-convex functions that play the central roles in discrete convex analysis. These concepts were originally introduced in combinatorial optimization, but turned out to be relevant in economics. Emphasis is put on discrete duality and conjugacy respect to the Legendre-Fenchel transformation. Monograph information: http://www.misojiro.t.u-tokyo.ac.jp/~murota/mybooks.html#DCAsiam2003