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A Survey of Fundamental Operations on Discrete Convex Functions of Various Kinds

Combinatorics 2019-10-04 v3 Optimization and Control

Abstract

Discrete convex functions are used in many areas, including operations research, discrete-event systems, game theory, and economics. The objective of this paper is to offer a survey on fundamental operations for various kinds of discrete convex functions in discrete convex analysis such as integrally convex functions, L-convex functions, M-convex functions, and multimodular functions.

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Cite

@article{arxiv.1907.09161,
  title  = {A Survey of Fundamental Operations on Discrete Convex Functions of Various Kinds},
  author = {Kazuo Murota},
  journal= {arXiv preprint arXiv:1907.09161},
  year   = {2019}
}

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47 pages