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- W1992246611 abstract "Consider the length $L_{MM}^E$ of the minimum matching of N points in d-dimensional Euclidean space. Using numerical simulations and the finite size scaling law $< L_{MM}^E > = beta_{MM}^E(d) N^{1-1/d}(1+A/N+... )$, we obtain precise estimates of $beta_{MM}^E(d)$ for $2 le d le 10$. We then consider the approximation where distance correlations are neglected. This model is solvable and gives at $d ge 2$ an excellent ``random link'' approximation to $beta_{MM}^E(d)$. Incorporation of three-link correlations further improves the accuracy, leading to a relative error of 0.4% at d=2 and 3. Finally, the large d behavior of this expansion in link correlations is discussed." @default.
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- W1992246611 date "1997-07-07" @default.
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- W1992246611 title "Mean Field and Corrections for the Euclidean Minimum Matching Problem" @default.
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- W1992246611 doi "https://doi.org/10.1103/physrevlett.79.167" @default.
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