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: A_{ij} = \left\{ \begin{array}{ll}
x_{ij} & (u_i, v_j) \in E \
0 & (u_i, v_j)
otin E.
\end{array} ight.

where the ''x''ij are indeterminates. One application of the Edmonds matrix of a bipartite graph is that the graph admits a Perfect Matching if and only if the polynomial det(''A''ij) in the ''x''ij is not identically zero.


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