In applied mathematics, Graver bases enable iterative solutions of linear and various nonlinear integer programming problems in polynomial time. They were introduced by Jack E. Graver.[1] Their connection to the theory of Gröbner bases was discussed by Bernd Sturmfels.[2] The algorithmic theory of Graver bases and its application to integer programming is described by Shmuel Onn.[3][4]
^Jack E. Graver: On the foundations of linear and linear integer programming, Mathematical Programming 9:207–226, 1975
^Bernd Sturmfels, Gröbner Bases and Convex Polytopes, American Mathematical Society, xii+162 pp., 1996
^Shmuel onn Archived 2020-07-02 at the Wayback Machine: Nonlinear Discrete Optimization, European Mathematical Society, x+137 pp., 2010
^Shmuel Onn: Linear and nonlinear integer optimization, Online Video Lecture Series, Mathematical Sciences Research Institute, Berkeley, 2010
introduced by Jack E. Graver. Their connection to the theory of Gröbner bases was discussed by Bernd Sturmfels. The algorithmic theory of Graver bases and its...
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