Submodular functions and optimization [electronic resource]

• 作者： Fujishige, Satoru.
• 其他題名：
  • Annals of discrete mathematics
• 出版： Amsterdam ;Boston ;Oxford : Elsevier
• 版本：2nd ed.
• 叢書名： Annals of discrete mathematics58
• 主題： Submodular functions , Combinatorial optimization , Fonctions sous modulaires. , Optimisation combinatoire. , Electronic books.
• ISBN： 9780444520869 、 0444520864
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Includes bibliographical references (p. 365-388) and index. 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. Previous ed.: Amsterdam: North Holland, 1991.
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• 摘要註: 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.
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