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Algorithmics of matching under preferences [[electronic resource] /] / David F. Manlove ; with a foreword by Kurt Mehlhorn
| Algorithmics of matching under preferences [[electronic resource] /] / David F. Manlove ; with a foreword by Kurt Mehlhorn |
| Autore | Manlove David F |
| Pubbl/distr/stampa | [Hackensack] N.J., : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (524 p.) |
| Disciplina | 005.1 |
| Altri autori (Persone) | MehlhornKurt |
| Collana | Series on theoretical computer science |
| Soggetto topico | Computer algorithms |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-299-46251-0
981-4425-25-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Foreword; Acknowledgments; Contents; List of Figures; List of Tables; List of Algorithms; 1. Preliminary definitions, results and motivation; 1.1 Introduction; 1.1.1 Remit of this book; 1.1.1.1 Matching under preferences; 1.1.1.2 Free-for-all markets; 1.1.1.3 Centralised matching schemes; 1.1.2 The matching problems under consideration; 1.1.2.1 Classification of matching problems; 1.1.2.2 Bipartite matching problems with two-sided preferences; 1.1.2.3 Bipartite matching problems with one-sided preferences; 1.1.2.4 Non-bipartite matching problems with preferences
1.1.2.5 Further problem variants1.1.3 Existing literature on matching problems; 1.1.3.1 Algorithms and complexity literature; 1.1.3.2 Game theory and economics literature; 1.1.3.3 Algorithmic mechanism design literature; 1.1.4 Contribution of this book; 1.1.4.1 General overview; 1.1.4.2 Chapter outline; 1.1.4.3 What the book does not contribute; 1.1.5 Outline of this chapter; 1.2 Matchings in graphs; 1.3 The Hospitals / Residents problem (hr); 1.3.1 Introduction; 1.3.2 Key definitions; 1.3.3 Key results (up to 1989); 1.3.4 Stable Marriage problem (sm); 1.3.4.1 Key definitions 1.3.4.2 Key results (up to 1989)1.3.4.3 Rotations; 1.3.5 Hospitals / Residents problem with indifference; 1.3.6 Other variants of hr; 1.3.6.1 Couples; 1.3.6.2 Many-many stable matchings; 1.3.6.3 Master lists; 1.3.7 Motivation; 1.4 The Stable Roommates problem (sr); 1.4.1 Introduction; 1.4.2 Key definitions; 1.4.3 Key results (up to 1989); 1.4.4 Rotations; 1.4.5 Stable Roommates problem with indifference; 1.4.6 Motivation; 1.5 The House Allocation problem (ha) and its variants; 1.5.1 Introduction; 1.5.2 Formal definition of ha and hm; 1.5.3 Pareto optimal matchings 1.5.4 Maximum utility matchings1.5.5 Popular matchings; 1.5.6 Profile-based optimal matchings; 1.5.7 Extensions of ha; 1.5.8 Motivation; Stable Matching Problems; 2. The Stable Marriage problem: An update; 2.1 Introduction; 2.2 The 12 open problems of Gusfield and Irving; 2.2.1 Introduction; 2.2.2 1. Maximum number of stable matchings; 2.2.3 2. The "divorce digraph"; 2.2.4 3. Parallel algorithms for stable marriage; 2.2.5 4. Batch stability testing; 2.2.6 5. Structure of stable marriage with ties; 2.2.7 6. Sex-equal matching; 2.2.8 7. Lying and egalitarian matchings 2.2.9 10. Succinct certificates2.2.10 11. Algorithmic improvements; 2.3 The Subramanian and Feder papers; 2.3.1 Subramanian: sri and network stability; 2.3.2 Feder: sri and 2-sat; 2.3.3 Other fixed-point approaches; 2.4 Linear programming approaches; 2.5 Constraint programming approaches; 2.5.1 Introduction; 2.5.2 Preliminaries; 2.5.3 Overview of the csp model; 2.5.4 Arc consistency in the csp model; 2.6 Paths to stability; 2.6.1 Introduction; 2.6.2 The Roth-Vande Vate Mechanism; 2.6.3 The Random Order Mechanism; 2.6.4 Other decentralised algorithms; 2.7 Median stable matchings 2.8 Size versus stability |
| Record Nr. | UNINA-9910452334203321 |
Manlove David F
|
||
| [Hackensack] N.J., : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algorithmics of matching under preferences / / David F. Manlove, University of Glasgow, UK ; with a foreword by Kurt Mehlhorn
| Algorithmics of matching under preferences / / David F. Manlove, University of Glasgow, UK ; with a foreword by Kurt Mehlhorn |
| Autore | Manlove David F |
| Pubbl/distr/stampa | [Hackensack] N.J., : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (xxxi, 491 pages) |
| Disciplina | 005.1 |
| Collana | Series on theoretical computer science |
| Soggetto topico |
Matching theory
Marriage theorem Computer science - Mathematics |
| ISBN |
1-299-46251-0
981-4425-25-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Foreword; Acknowledgments; Contents; List of Figures; List of Tables; List of Algorithms; 1. Preliminary definitions, results and motivation; 1.1 Introduction; 1.1.1 Remit of this book; 1.1.1.1 Matching under preferences; 1.1.1.2 Free-for-all markets; 1.1.1.3 Centralised matching schemes; 1.1.2 The matching problems under consideration; 1.1.2.1 Classification of matching problems; 1.1.2.2 Bipartite matching problems with two-sided preferences; 1.1.2.3 Bipartite matching problems with one-sided preferences; 1.1.2.4 Non-bipartite matching problems with preferences
1.1.2.5 Further problem variants1.1.3 Existing literature on matching problems; 1.1.3.1 Algorithms and complexity literature; 1.1.3.2 Game theory and economics literature; 1.1.3.3 Algorithmic mechanism design literature; 1.1.4 Contribution of this book; 1.1.4.1 General overview; 1.1.4.2 Chapter outline; 1.1.4.3 What the book does not contribute; 1.1.5 Outline of this chapter; 1.2 Matchings in graphs; 1.3 The Hospitals / Residents problem (hr); 1.3.1 Introduction; 1.3.2 Key definitions; 1.3.3 Key results (up to 1989); 1.3.4 Stable Marriage problem (sm); 1.3.4.1 Key definitions 1.3.4.2 Key results (up to 1989)1.3.4.3 Rotations; 1.3.5 Hospitals / Residents problem with indifference; 1.3.6 Other variants of hr; 1.3.6.1 Couples; 1.3.6.2 Many-many stable matchings; 1.3.6.3 Master lists; 1.3.7 Motivation; 1.4 The Stable Roommates problem (sr); 1.4.1 Introduction; 1.4.2 Key definitions; 1.4.3 Key results (up to 1989); 1.4.4 Rotations; 1.4.5 Stable Roommates problem with indifference; 1.4.6 Motivation; 1.5 The House Allocation problem (ha) and its variants; 1.5.1 Introduction; 1.5.2 Formal definition of ha and hm; 1.5.3 Pareto optimal matchings 1.5.4 Maximum utility matchings1.5.5 Popular matchings; 1.5.6 Profile-based optimal matchings; 1.5.7 Extensions of ha; 1.5.8 Motivation; Stable Matching Problems; 2. The Stable Marriage problem: An update; 2.1 Introduction; 2.2 The 12 open problems of Gusfield and Irving; 2.2.1 Introduction; 2.2.2 1. Maximum number of stable matchings; 2.2.3 2. The "divorce digraph"; 2.2.4 3. Parallel algorithms for stable marriage; 2.2.5 4. Batch stability testing; 2.2.6 5. Structure of stable marriage with ties; 2.2.7 6. Sex-equal matching; 2.2.8 7. Lying and egalitarian matchings 2.2.9 10. Succinct certificates2.2.10 11. Algorithmic improvements; 2.3 The Subramanian and Feder papers; 2.3.1 Subramanian: sri and network stability; 2.3.2 Feder: sri and 2-sat; 2.3.3 Other fixed-point approaches; 2.4 Linear programming approaches; 2.5 Constraint programming approaches; 2.5.1 Introduction; 2.5.2 Preliminaries; 2.5.3 Overview of the csp model; 2.5.4 Arc consistency in the csp model; 2.6 Paths to stability; 2.6.1 Introduction; 2.6.2 The Roth-Vande Vate Mechanism; 2.6.3 The Random Order Mechanism; 2.6.4 Other decentralised algorithms; 2.7 Median stable matchings 2.8 Size versus stability |
| Record Nr. | UNINA-9910779692703321 |
|
Manlove David F
|
||
| [Hackensack] N.J., : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algorithmics of matching under preferences / / David F. Manlove, University of Glasgow, UK ; with a foreword by Kurt Mehlhorn
| Algorithmics of matching under preferences / / David F. Manlove, University of Glasgow, UK ; with a foreword by Kurt Mehlhorn |
| Autore | Manlove David F |
| Pubbl/distr/stampa | [Hackensack] N.J., : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (xxxi, 491 pages) |
| Disciplina | 005.1 |
| Collana | Series on theoretical computer science |
| Soggetto topico |
Matching theory
Marriage theorem Computer science - Mathematics |
| ISBN |
1-299-46251-0
981-4425-25-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Foreword; Acknowledgments; Contents; List of Figures; List of Tables; List of Algorithms; 1. Preliminary definitions, results and motivation; 1.1 Introduction; 1.1.1 Remit of this book; 1.1.1.1 Matching under preferences; 1.1.1.2 Free-for-all markets; 1.1.1.3 Centralised matching schemes; 1.1.2 The matching problems under consideration; 1.1.2.1 Classification of matching problems; 1.1.2.2 Bipartite matching problems with two-sided preferences; 1.1.2.3 Bipartite matching problems with one-sided preferences; 1.1.2.4 Non-bipartite matching problems with preferences
1.1.2.5 Further problem variants1.1.3 Existing literature on matching problems; 1.1.3.1 Algorithms and complexity literature; 1.1.3.2 Game theory and economics literature; 1.1.3.3 Algorithmic mechanism design literature; 1.1.4 Contribution of this book; 1.1.4.1 General overview; 1.1.4.2 Chapter outline; 1.1.4.3 What the book does not contribute; 1.1.5 Outline of this chapter; 1.2 Matchings in graphs; 1.3 The Hospitals / Residents problem (hr); 1.3.1 Introduction; 1.3.2 Key definitions; 1.3.3 Key results (up to 1989); 1.3.4 Stable Marriage problem (sm); 1.3.4.1 Key definitions 1.3.4.2 Key results (up to 1989)1.3.4.3 Rotations; 1.3.5 Hospitals / Residents problem with indifference; 1.3.6 Other variants of hr; 1.3.6.1 Couples; 1.3.6.2 Many-many stable matchings; 1.3.6.3 Master lists; 1.3.7 Motivation; 1.4 The Stable Roommates problem (sr); 1.4.1 Introduction; 1.4.2 Key definitions; 1.4.3 Key results (up to 1989); 1.4.4 Rotations; 1.4.5 Stable Roommates problem with indifference; 1.4.6 Motivation; 1.5 The House Allocation problem (ha) and its variants; 1.5.1 Introduction; 1.5.2 Formal definition of ha and hm; 1.5.3 Pareto optimal matchings 1.5.4 Maximum utility matchings1.5.5 Popular matchings; 1.5.6 Profile-based optimal matchings; 1.5.7 Extensions of ha; 1.5.8 Motivation; Stable Matching Problems; 2. The Stable Marriage problem: An update; 2.1 Introduction; 2.2 The 12 open problems of Gusfield and Irving; 2.2.1 Introduction; 2.2.2 1. Maximum number of stable matchings; 2.2.3 2. The "divorce digraph"; 2.2.4 3. Parallel algorithms for stable marriage; 2.2.5 4. Batch stability testing; 2.2.6 5. Structure of stable marriage with ties; 2.2.7 6. Sex-equal matching; 2.2.8 7. Lying and egalitarian matchings 2.2.9 10. Succinct certificates2.2.10 11. Algorithmic improvements; 2.3 The Subramanian and Feder papers; 2.3.1 Subramanian: sri and network stability; 2.3.2 Feder: sri and 2-sat; 2.3.3 Other fixed-point approaches; 2.4 Linear programming approaches; 2.5 Constraint programming approaches; 2.5.1 Introduction; 2.5.2 Preliminaries; 2.5.3 Overview of the csp model; 2.5.4 Arc consistency in the csp model; 2.6 Paths to stability; 2.6.1 Introduction; 2.6.2 The Roth-Vande Vate Mechanism; 2.6.3 The Random Order Mechanism; 2.6.4 Other decentralised algorithms; 2.7 Median stable matchings 2.8 Size versus stability |
| Record Nr. | UNINA-9910813941703321 |
|
Manlove David F
|
||
| [Hackensack] N.J., : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||