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Submodular Functions and Optimization
2nd Edition - July 26, 2005
Author: Satoru Fujishige
Hardback ISBN:9780444520869
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eBook ISBN:9780080461625
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It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication of the 1st edition… Read more
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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.
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
Part I.1. Introduction2. Submodular Systems and Base Polyhedra3. Neoflows4. Submodular Analysis5. Nonlinear Optimizaation with Submodular Constraints
Part II6. Submodular Function Minimization7. Discrete Convex Analysis
No. of pages: 410
Language: English
Published: July 26, 2005
Imprint: Elsevier Science
Hardback ISBN: 9780444520869
eBook ISBN: 9780080461625
SF
Satoru Fujishige
Affiliations and expertise
Research Institute for Mathematical Sciences, Kyoto University