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• W2022038195 abstract "We study the statistical properties of the quasi-optimal solutions to the travelling salesman problem with city positions randomly distributed on a square. To each near-optimal solution we associate points on a circle with the same order and distances. We then analyse the fluctuations of the positions, applying statistical measures developed previously to investigate the behaviour of eigenvalues of (unitary) random matrices. We establish that, in the limit od a large number of cities, these measures display a universal behaviour, intermediate between that of a sequence of uncorrelated random points and a sequence of eigenvalues of unitary symmetric random matrices." @default.
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• W2022038195 date "1996-10-01" @default.
• W2022038195 modified "2023-10-02" @default.
• W2022038195 title "Universal fluctuations of quasi-optimal paths of the travelling salesman problem" @default.
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• W2022038195 doi "https://doi.org/10.1016/0378-4371(96)00141-0" @default.
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