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DOI: 10.4230/DagSemProc.05011.10
URN: urn:nbn:de:0030-drops-2167
URL: https://drops.dagstuhl.de/opus/volltexte/2005/216/
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Murota, Kazuo

Fundamentals in Discrete Convex Analysis

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05011.MurotaKazuo.ExtAbstract.216.pdf (0.09 MB)


Abstract

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

BibTeX - Entry

@InProceedings{murota:DagSemProc.05011.10,
  author =	{Murota, Kazuo},
  title =	{{Fundamentals in Discrete Convex Analysis}},
  booktitle =	{Computing and Markets},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{5011},
  editor =	{Daniel Lehmann and Rudolf M\"{u}ller and Tuomas Sandholm},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2005/216},
  URN =		{urn:nbn:de:0030-drops-2167},
  doi =		{10.4230/DagSemProc.05011.10},
  annote =	{Keywords: gross substitute, discrete convex functions, M-convex function, Fenchel-Legendre transformation}
}

Keywords: gross substitute, discrete convex functions, M-convex function, Fenchel-Legendre transformation
Collection: 05011 - Computing and Markets
Issue Date: 2005
Date of publication: 19.07.2005


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