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020 _a9783031475047
_9978-3-031-47504-7
024 7 _a10.1007/978-3-031-47504-7
_2doi
050 4 _aQA166-166.247
072 7 _aPBV
_2bicssc
072 7 _aMAT008000
_2bisacsh
072 7 _aPBV
_2thema
100 1 _aLucchesi, Cláudio L.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_973954
245 1 0 _aPerfect Matchings
_h[electronic resource] :
_bA Theory of Matching Covered Graphs /
_cby Cláudio L. Lucchesi, U.S.R. Murty.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXXIII, 580 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAlgorithms and Computation in Mathematics,
_x2512-3254 ;
_v31
505 0 _aPart I. Basic Theory -- Part II -- Brick and Brace Generation -- Part III -- Pfaffian Orientations -- A. Solutions to Selected Exercises -- References -- List of Figures -- Glossary -- Index.
520 _aBeginning 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.
650 0 _aGraph theory.
650 1 4 _aGraph Theory.
700 1 _aMurty, U.S.R.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_973955
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031475030
776 0 8 _iPrinted edition:
_z9783031475054
776 0 8 _iPrinted edition:
_z9783031475061
830 0 _aAlgorithms and Computation in Mathematics,
_x2512-3254 ;
_v31
_973956
856 4 0 _uhttps://doi.org/10.1007/978-3-031-47504-7
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
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