Blossom algorithm: Difference between revisions

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[[File:Edmonds blossom.svg|500px|alt=Example of a blossom]]
 
''G’'' has an ''M’''-augmenting path [[if and only if|if and only if]] ''G'' has an ''M''-augmenting path, and that any ''M’''-augmenting path ''P’'' in ''G’'' can be '''lifted''' to an ''M''-augmenting path in ''G'' by undoing the contraction by ''B'' so that the segment of ''P’'' (if any) traversing through ''v<sub>B</sub>'' is replaced by an appropriate segment traversing through ''B''.<ref name = "tarjan notes">{{citation
| author = Tarjan, Robert
| contribution = Sketchy Notes on Edmonds' Incredible Shrinking Blossom Algorithm for General Matching
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| author1 = Kenyon, Claire
| author2 = Lovász, László
| authorlink2 = László Lovász
| contribution = Algorithmic Discrete Mathematics
| title = Technical Report CS-TR-251-90, Department of Computer Science, Princeton University