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Mathematics  2014 

The Minimum Perfect Matching in Pseudo-dimension 0

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Abstract:

It is known that for $K_{n,n}$ equipped with i.i.d. exp(1) edge costs, the minimum total cost of a perfect matching converges to $\pi^2/6$ in probability. Similar convergence has been established for all edge cost distributions of pseudo-dimension $q \geq 1$, such as Wei(1,q) costs. In this paper we extend those results to 0

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