Submodular Functions and Optimization

Satoru Fujishige - Collection Annals of discrete mathematics

394 pages, parution le 26/07/2005 (2^eme édition)

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Résumé

It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication of the 1st edition of this book fifteen years ago, submodular functions have been showing further increasing importance in optimization, combinatorics, discrete mathematics, algorithmic computer science, and algorithmic economics, and there have been made remarkable developments of theory and algorithms in submodular functions. The 2nd edition of the book supplements the 1st edition with a lot of remarks and with new two chapters: "Submodular Function Minimization" and "Discrete Convex Analysis." The present 2nd edition is still a unique book on submodular functions, which is essential to students and researchers interested in combinatorial optimization, discrete mathematics, and discrete algorithms in the fields of mathematics, operations research, computer science, and economics.

Key features:

Self-contained exposition of the theory of submodular functions.
Selected up-to-date materials substantial to future developments.
Polyhedral description of Discrete Convex Analysis.
Full description of submodular function minimization algorithms.
Effective insertion of figures.
Useful in applied mathematics, operations research, computer science, and economics.

Audience

(Graduate) students of Mathematics and Computer Science, (graduate) students of economics and operations research

Sommaire

Preface
Preface to the Second Editor
Introduction
Submodular Systems and Base Polyhedra
Neoflows
Submodular Analysis
Nonlinear Optimizaation with Submodular Constraints
Submodular Function Minimization
Discrete Convex Analysis
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Elsevier
Auteur(s)	Satoru Fujishige
Collection	Annals of discrete mathematics
Parution	26/07/2005
Édition	2^eme édition
Nb. de pages	394
Format	17 x 24,5
Couverture	Relié
Poids	887g
Intérieur	Noir et Blanc
EAN13	9780444520869
ISBN13	978-0-444-52086-9