Prove theorem 1 as a corollary of theorem 2

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Reference no: EM131168798

Prove Theorem 1 as a corollary of Theorem 2.

Hint: add a source and sink and view the matching problem as a flow problem.

Theorem 1
A matching on a graph G is a maximum cardinality matching if and only if there is no augmenting path in G.

Theorem 2
A given feasible flow f on a graph maximizes the flow on (i, j) if and only if there is no augmenting path from j to i in the residual graph R(f).

Reference no: EM131168798

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