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Submodular functions and optimization

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Submodular functions and optimization/ Satoru Fujishige.
作者:	Fujishige, Satoru.
出版者:	Amsterdam ;Elsevier, : 2005.,
面頁冊數:	1 online resource (xiv, 395 p.) :ill. :
附註:	Previous ed.: Amsterdam: North Holland, 1991.
標題:	Submodular functions. -
電子資源:	http://www.sciencedirect.com/science/book/9780444520869
ISBN:	9780444520869

Submodular functions and optimization
Fujishige, Satoru.

Submodular functions and optimization[electronic resource] /Satoru Fujishige. - 2nd ed. - Amsterdam ;Elsevier,2005. - 1 online resource (xiv, 395 p.) :ill. - Annals of discrete mathematics ;58. - Annals of discrete mathematics ;58..

Previous ed.: Amsterdam: North Holland, 1991.

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.

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.

ISBN: 9780444520869

Source: 116146:116244Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

257071
Submodular functions.
Index Terms--Genre/Form:

96803
Electronic books.

LC Class. No.: QA166.6 / .F85 2005eb

Dewey Class. No.: 511.6

Submodular functions and optimization
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490 1 $a Annals of discrete mathematics ; $v 58
500 $a Previous ed.: Amsterdam: North Holland, 1991.
504 $a Includes bibliographical references (p. 365-388) and index.
505 0 $a 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.
520 $a 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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