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• W3100269183 abstract "We consider two formulations of the random-link fractional matching problem, a relaxed version of the more standard random-link (integer) matching problem. In one formulation, we allow each node to be linked to itself in the optimal matching configuration. In the other one, on the contrary, such a link is forbidden. Both problems have the same asymptotic average optimal cost of the random-link matching problem on the complete graph. Using a replica approach and previous results of Wästlund (2010 Acta Mathematica 204 91–150), we analytically derive the finite-size corrections to the asymptotic optimal cost. We compare our results with numerical simulations and we discuss the main differences between random-link fractional matching problems and the random-link matching problem." @default.
• W3100269183 created "2020-11-23" @default.
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• W3100269183 date "2018-05-03" @default.
• W3100269183 modified "2023-09-26" @default.
• W3100269183 title "The random fractional matching problem" @default.
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• W3100269183 doi "https://doi.org/10.1088/1742-5468/aabbc8" @default.
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