Recent Developments in Discrete Convex Analysis

Kazuo Murota ()
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Kazuo Murota: University of Tokyo, Department of Mathematical Informatics, Graduate School of Information Science and Technology

Chapter 11 in Research Trends in Combinatorial Optimization, 2009, pp 219-260 from Springer

Abstract: Summary This paper describes recent developments in discrete convex analysis. Particular emphasis is laid on natural introduction of the classes of L-convex and M-convex functions in discrete and continuous variables. Expansion of the application areas is demonstrated by recent connections to submodular function maximization, finite metric space, eigenvalues of Hermitian matrices, discrete fixed point theorem, and matching games.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-76796-1_11

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DOI: 10.1007/978-3-540-76796-1_11

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