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Sequences

The fat edges in the graph displayed in Figure 13.2 form a matching M. The vertices af, and are exposed with respect to M, and the sequences (a, b, c, d, e, f) and (a, b, c, u, v,w, x, y) define augmenting paths and, respectively. Interchanging the roles of edges and non-edges of M on the path yields the matching M_ of cardinality |M| + 1 exhibited in Figure 13.3; more formally, we replace by M ⊕, where denotes the symmetric difference. Note that is a maximal matching of G, as there is only one exposed vertex.

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