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Random Optimization Problems and Statistical Mechanics

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The Euclidean Matching Problem

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Abstract

In the previous chapter we discussed optimization problems defined on graphs, and in particular matching problems. For each of these problems we supposed that the parameters of the problem (e.g., the weight matrix for the considered graph) were given once and for all. For a given instance of an optimization problem, the solution can be found running specific algorithms available in the literature.

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Notes

  1. 1.

    The tree is therefore an infinite N-Cayley tree.

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Correspondence to Gabriele Sicuro .

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Sicuro, G. (2017). Random Optimization Problems and Statistical Mechanics. In: The Euclidean Matching Problem. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-46577-7_3

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