Question: Let G be a complete bipartite graph such that |X| = |Y | = n and for each pair of vertices x X and

Let G be a complete bipartite graph such that |X| = |Y | = n and for each pair of vertices x ∈ X and y ∈ Y , there is an edge joining x and y. Show that G has n! distinct maximum matchings.

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X x 1 x 2 x n and Y y 1 y 2 y n We can count all possible matchings inductively There ... View full answer

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