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Submodular Functions and Optimization - 2nd Edition - ISBN: 9780444520869, 9780080461625

Submodular Functions and Optimization, Volume 58

2nd Edition

Author: Satoru Fujishige
Hardcover ISBN: 9780444520869
eBook ISBN: 9780080461625
Imprint: Elsevier Science
Published Date: 26th July 2005
Page Count: 410
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Table of Contents

Part I.
1. Introduction
2. Submodular Systems and Base Polyhedra
3. Neoflows
4. Submodular Analysis
5. Nonlinear Optimizaation with Submodular Constraints

Part II
6. Submodular Function Minimization
7. Discrete Convex Analysis


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


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


No. of pages:
© Elsevier Science 2005
26th July 2005
Elsevier Science
Hardcover ISBN:
eBook ISBN:

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About the Author

Satoru Fujishige

Affiliations and Expertise

Research Institute for Mathematical Sciences, Kyoto University