Submodular functions and optimization: Previous ed.: Amsterdam: North Holland, 1991
Gespeichert in:
Format: | Elektronisch E-Book |
---|---|
Sprache: | English |
Veröffentlicht: |
Amsterdam
Elsevier
2005
|
Ausgabe: | 2nd ed |
Schriftenreihe: | Annals of discrete mathematics
58 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | 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 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 Includes bibliographical references (p. 365-388) and index |
Beschreibung: | 1 Online-Ressource (1 online resource (xiv, 395 p.)) |
ISBN: | 9780444520869 0444520864 |
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245 | 1 | 0 | |a Submodular functions and optimization |b Previous ed.: Amsterdam: North Holland, 1991 |c Satoru Fujishige |
250 | |a 2nd ed | ||
264 | 1 | |a Amsterdam |b Elsevier |c 2005 | |
300 | |a 1 Online-Ressource (1 online resource (xiv, 395 p.)) | ||
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490 | 0 | |a Annals of discrete mathematics |v 58 | |
500 | |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 | ||
500 | |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 | ||
500 | |a Includes bibliographical references (p. 365-388) and index | ||
650 | 4 | |a Submodular functions | |
650 | 4 | |a Combinatorial optimization | |
650 | 4 | |a Fonctions sous modulaires | |
650 | 4 | |a Optimisation combinatoire | |
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700 | 1 | |a Fujishige, Satoru |d 1947- |e Sonstige |0 (DE-588)171825837 |4 oth | |
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spelling | Submodular functions and optimization Previous ed.: Amsterdam: North Holland, 1991 Satoru Fujishige 2nd ed Amsterdam Elsevier 2005 1 Online-Ressource (1 online resource (xiv, 395 p.)) txt rdacontent c rdamedia cr rdacarrier Annals of discrete mathematics 58 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 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 Includes bibliographical references (p. 365-388) and index Submodular functions Combinatorial optimization Fonctions sous modulaires Optimisation combinatoire Kombinatorische Optimierung (DE-588)4031826-6 gnd rswk-swf Submodulare Funktion (DE-588)4323153-6 gnd rswk-swf Submodulare Funktion (DE-588)4323153-6 s Kombinatorische Optimierung (DE-588)4031826-6 s 1\p DE-604 Fujishige, Satoru 1947- Sonstige (DE-588)171825837 oth http://www.sciencedirect.com/science/book/9780444520869 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Submodular functions and optimization Previous ed.: Amsterdam: North Holland, 1991 Submodular functions Combinatorial optimization Fonctions sous modulaires Optimisation combinatoire Kombinatorische Optimierung (DE-588)4031826-6 gnd Submodulare Funktion (DE-588)4323153-6 gnd |
subject_GND | (DE-588)4031826-6 (DE-588)4323153-6 |
title | Submodular functions and optimization Previous ed.: Amsterdam: North Holland, 1991 |
title_auth | Submodular functions and optimization Previous ed.: Amsterdam: North Holland, 1991 |
title_exact_search | Submodular functions and optimization Previous ed.: Amsterdam: North Holland, 1991 |
title_full | Submodular functions and optimization Previous ed.: Amsterdam: North Holland, 1991 Satoru Fujishige |
title_fullStr | Submodular functions and optimization Previous ed.: Amsterdam: North Holland, 1991 Satoru Fujishige |
title_full_unstemmed | Submodular functions and optimization Previous ed.: Amsterdam: North Holland, 1991 Satoru Fujishige |
title_short | Submodular functions and optimization |
title_sort | submodular functions and optimization previous ed amsterdam north holland 1991 |
title_sub | Previous ed.: Amsterdam: North Holland, 1991 |
topic | Submodular functions Combinatorial optimization Fonctions sous modulaires Optimisation combinatoire Kombinatorische Optimierung (DE-588)4031826-6 gnd Submodulare Funktion (DE-588)4323153-6 gnd |
topic_facet | Submodular functions Combinatorial optimization Fonctions sous modulaires Optimisation combinatoire Kombinatorische Optimierung Submodulare Funktion |
url | http://www.sciencedirect.com/science/book/9780444520869 |
work_keys_str_mv | AT fujishigesatoru submodularfunctionsandoptimizationpreviousedamsterdamnorthholland1991 |