Perfect matchings a theory of matching covered graphs
Part I. Basic Theory -- Part II -- Brick and Brace Generation -- Part III -- Pfaffian Orientations -- A. Solutions to Selected Exercises -- References -- List of Figures -- Glossary -- Index.
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Cham
Springer
2024
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| Schriftenreihe: | Algorithms and computation in mathematics
volume 31 |
| Schlagworte: | |
| Online Zugang: | zbMATH |
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Tag hinzufügen | Zusammenfassung: | Part I. Basic Theory -- Part II -- Brick and Brace Generation -- Part III -- Pfaffian Orientations -- A. Solutions to Selected Exercises -- References -- List of Figures -- Glossary -- Index. Beginning with its origins in the pioneering work of W.T. Tutte in 1947, this monograph systematically traces through some of the impressive developments in matching theory. A graph is matchable if it has a perfect matching. A matching covered graph is a connected graph on at least two vertices in which each edge is covered by some perfect matching. The theory of matching covered graphs, though of relatively recent vintage, has an array of interesting results with elegant proofs, several surprising applications and challenging unsolved problems. The aim of this book is to present the material in a well-organized manner with plenty of examples and illustrations so as to make it accessible to undergraduates, and also to unify the existing theory and point out new avenues to explore so as to make it attractive to graduate students. |
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| Beschreibung: | Literaturverzeichnis: Seite 555-559 |
| Beschreibung: | xxiii, 580 Seiten Diagramme |
| ISBN: | 9783031475030 978-3-031-47503-0 |