Question: required urgent Let G = (V, E) be a bipartite graph, where V = XU Y, and the edges connect vertices of X with vertices

required urgent

Let G = (V, E) be a bipartite graph, where V = XU Y, and the edges connect vertices of X with vertices of Y. Assume that for all T' C X, we have |/(T)| 2 |T| - 1, where NV(T') denotes the set of neighbors of T. Prove that G contains a matching of size | X"| - 1. (1.e., there exists a set of vertex disjoint edges of size [X] - 1.)

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