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- W2112263772 abstract "We resolve in the affirmative a question of R.B. Boppana and T. Bui: whether simulated annealing can with high probability and in polynomial time, find the optimal bisection of a random graph an G/sub npr/ when p-r=(/spl Theta/n/sup /spl Delta/-2/) for /spl Delta//spl les/2. (The random graph model G/sub npr/ specifies a planted bisection of density r, separating two n/2-vertex subsets of slightly higher density p.) We show that simulated annealing at an appropriate fixed temperature (i.e., the Metropolis algorithm) finds the unique smallest bisection in O(n/sup 2+/spl epsi//) steps with very high probability, provided /spl Delta/>11/6. (By using a slightly modified neighborhood structure, the number of steps can be reduced to O(n/sup 1+/spl epsi//).) We leave open the question of whether annealing is effective for /spl Delta/ in the range 3/2>" @default.
- W2112263772 created "2016-06-24" @default.
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- W2112263772 date "2002-12-30" @default.
- W2112263772 modified "2023-09-25" @default.
- W2112263772 title "Simulated annealing for graph bisection" @default.
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- W2112263772 doi "https://doi.org/10.1109/sfcs.1993.366878" @default.
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