Edition |
2nd ed. |
Description |
1 online resource (xiv, 395 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
Series |
Annals of discrete mathematics ; 58 |
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Annals of discrete mathematics ; 58.
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Summary |
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. - 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 |
Contents |
Preface. -- Preface to the Second Editor. -- Part I. -- Chapter I. Introduction. -- Chapter II. Submodular Systems and Base Polyhedra. -- Chapter III. Neoflows. -- Chapter IV. Submodular Analysis. -- Chapter V. Nonlinear Optimizaation with Submodular Constraints. -- Part II. -- Chapter VI. Submodular Function Minimization. -- Chapter VII. Discrete Convex Analysis. -- References. -- Index. |
Note |
Previous edition: Amsterdam: North Holland, 1991. |
Bibliography |
Includes bibliographical references (pages 365-388) and index. |
Note |
Print version record. |
Access |
Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK). WlAbNL |
Terms Of Use |
Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force. WlAbNL |
Subject |
Submodular functions.
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Combinatorial optimization.
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Fonctions sous modulaires.
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Optimisation combinatoire.
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MATHEMATICS -- Combinatorics.
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Combinatorial optimization
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Submodular functions
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Other Form: |
Print version: Fujishige, Satoru. Submodular functions and optimization. 2nd ed. Amsterdam ; Boston ; Oxford : Elsevier, 2005 0444520864 9780444520869 (OCoLC)60667936 |
ISBN |
9780444520869 |
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0444520864 |
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008046162X (electronic bk.) |
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9780080461625 (electronic bk.) |
Standard No. |
AU@ 000048129551 |
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CHNEW 001006653 |
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DEBBG BV036962356 |
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DEBBG BV043044319 |
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DEBSZ 275945138 |
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DEBSZ 422260339 |
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DEBSZ 482355921 |
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NLGGC 380801345 |
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NZ1 12433611 |
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NZ1 12435164 |
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UKMGB 017572973 |
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YDXCP 2493641 |
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