To ensure which the variables without a doubt signify an excellent matching, we add constraints expressing that each vertex is adjacent to precisely one edge inside the matching, i.
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new edges are necessary. The resulting graph usually has an excellent matching of dimensions n + r displaystyle n+r
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Generally the load functionality is seen as a sq. genuine-valued matrix C, so that the Price functionality is created down as:
The problem is "linear" since the Price perform to be optimized along with each of the constraints have only linear phrases. Algorithms[edit]
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