Format:
1 Online-Ressource (XXIII, 580 Seiten)
ISBN:
9783031475047
Series Statement:
Algorithms and computation in mathematics volume 31
Content:
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.
Note:
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.
Additional Edition:
ISBN 9783031475030
Additional Edition:
ISBN 9783031475054
Additional Edition:
ISBN 9783031475061
Additional Edition:
Erscheint auch als Druck-Ausgabe Lucchesi, Cláudio L. Perfect matchings Cham : Springer, 2024 ISBN 9783031475030
Language:
English
Subjects:
Mathematics
Keywords:
Matching
;
Faktorisierung
;
Petersen-Graph
;
Bipartiter Graph
;
Pfaff-Determinante
;
Schnitt
DOI:
10.1007/978-3-031-47504-7
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