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《Computer Engineering and Applications》 2005-03
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A Mean Field Annealing-based Algorithm for Four-Coloring Map Problems

Liu Jingfa 1,2 Wang Zengbo 1 Huang Weiqi 21 (Dept.of Math.,Hengyang Normal College,Hengyang421008) 2 (Computer Science and Technology Institute of HUST,Wuhan430074)  
In this paper,a mean field annealing-based algorithm(AFA)is given for solving four-coloring map problem.First,it gives its neural network and computational energy.To avoid that the network will be stuck into local minimum,it adds"hill-climbing"term to the mean field,so that it can be expected to force the network to converge to the globally optimal or near-optimal solutions.Numerical simulations of four-coloring map problem show that AFA has an apparent advantage in the convergence speed by comparing AFA with the discrete binary Hopfield neural networks in conference(4)and the neural networks with transient chaos in.The experimental results show that it is an effective method.
【Fund】: 湖南省教育厅科研基金资助项目(编号:02C133)
【CateGory Index】: TP183
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