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:<math>\sum_{a,b\in P}w_{a,b}d_{f(a),f(b)}</math>
In matrix notation:
:<math>min_{X\in\Pi_n} trace(WXDX^T)</math> where <math>\Pi_n</math> are the permutation matrices, "W" is the weight matrix and "D" is the distance matrix.
== Computational complexity ==
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