Sparsity : graphs, structures, and algorithms
This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This...
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| Auteurs principaux: | , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2012. |
| Colecção: | Algorithms and Combinatorics
28 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Sparsity, graphs, structures, and algorithms, Jaroslav Nešetřil, Patrice Ossona de Mendez, Berlin, Springer, 2012, 1 volume (xxiii-457 pages), Algorithms and Combinatorics, 978-3-642-27874-7 • Sparsity, graphs, structures, and algorithms, Jaroslav Nešetřil, Patrice Ossona de Mendez, Berlin, Springer, 2012, 1 volume (xxiii-457 pages), Algorithms and Combinatorics, 978-3-642-27874-7 • Sparsity, Texte imprimé, 9783642278761 • Sparsity, Texte imprimé, 9783642427763 |
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| 041 | 0 | |a eng | |
| 082 | |a 511.6 | ||
| 100 | 1 | |a Nešetřil, Jaroslav, |d 1946-...., |c Mathématicien. | |
| 245 | 1 | 0 | |a Sparsity : |b graphs, structures, and algorithms |c by Jaroslav Nešetřil, Patrice Ossona de Mendez. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Algorithms and Combinatorics |v 28 |x 2197-6783 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Part I Presentation: 1. Introduction 2. A Few Problems 3. Commented Contents Part II. The Theory: 4. Prolegomena 5. Measuring Sparsity 6. Classes and their Classification 7. Bounded Height Trees and Tree-Depth 8. Decomposition 9. Independence 10. First-Order Constraint Satisfaction Problems and Homomorphism Dualities 11. Restricted Homomorphism Dualities 12. Counting 13. Back to Classes Part III Applications: 14. Classes with Bounded Expansion Examples 15. Property Testing, Hyperfiniteness and Separators 16. Algorithmic Applications 17. Other Applications 18. Conclusion Bibliography Index List of Symbols | |
| 505 | 0 | |a Part I Presentation -- Part II. The Theory -- Part III Applications -- 1. Introduction -- 2. A Few Problems -- 3. Commented Contents -- 4. Prolegomena -- 5. Measuring Sparsity -- 6. Classes and their Classification -- 7. Bounded Height Trees and Tree-Depth -- 8. Decomposition -- 9. Independence -- 10. First-Order Constraint Satisfaction Problems and Homomorphism Dualities -- 11. Restricted Homomorphism Dualities -- 12. Counting -- 13. Back to Classes -- 14. Classes with Bounded Expansion Examples -- 15. Property Testing, Hyperfiniteness and Separators -- 16. Algorithmic Applications -- 17. Other Applications -- 18. Conclusion -- Bibliography -- Index -- List of Symbols | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remarkable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants.This study of sparse structures found applications in such diverse areas as algorithmic graph theory, complexity of algorithms, property testing, descriptive complexity and mathematical logic (homomorphism preservation,fixed parameter tractability and constraint satisfaction problems). It should be stressed that despite of its generality this approach leads to linear (and nearly linear) algorithms. Jaroslav Nešetřil is a professor at Charles University, Prague; Patrice Ossona de Mendez is a CNRS researcher et EHESS, Paris.This book is related to the material presented by the first author at ICM 2010 | ||
| 650 | |a Analyse combinatoire | ||
| 650 | |a Matrices éparses | ||
| 650 | |a Complexité de calcul (informatique) | ||
| 700 | 1 | |a Ossona de Mendez, Patrice, |d 1966- |4 aut | |
| 700 | 1 | |a Ossona de Mendez, Patrice. |4 aut | |
| 776 | 0 | |0 159091365 |t Sparsity |o graphs, structures, and algorithms |f Jaroslav Nešetřil, Patrice Ossona de Mendez |c Berlin |n Springer |d 2012 |p 1 volume (xxiii-457 pages) |s Algorithms and Combinatorics |z 978-3-642-27874-7 | |
| 776 | 0 | |0 159091365 |t Sparsity |o graphs, structures, and algorithms |f Jaroslav Nešetřil, Patrice Ossona de Mendez |c Berlin |n Springer |d 2012 |p 1 volume (xxiii-457 pages) |s Algorithms and Combinatorics |z 978-3-642-27874-7 | |
| 776 | 0 | |t Sparsity |b Texte imprimé |z 9783642278761 | |
| 776 | 0 | |t Sparsity |b Texte imprimé |z 9783642427763 | |
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| 997 | |0 958181 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||