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用遗传算法求解dc—MST问题
引用本文:王栋,张文彬.用遗传算法求解dc—MST问题[J].哈尔滨理工大学学报,2001,6(5):21-23,28.
作者姓名:王栋  张文彬
作者单位:哈尔滨理工大学计算机与控制学院 黑龙江 哈尔滨150080 (王栋),哈尔滨理工大学计算机与控制学院 黑龙江 哈尔滨150080(张文彬)
摘    要:针对以边编码为染色体的遗传算法只能求解普通的MST问题,对子带度约束的dc-MST问题很难求解.依据图论中的Cayley定理,建立了以端点编码为染色体的遗传算法,并应用遗传算法策略求解dc-MST问题.结果证明,该方法改进了搜索过程,得到了全局最优解.

关 键 词:dc-MST  遗传算法  Prüfer数

Apply Genetic Algorithms to Solve dc-MST Problem
WANG Dong,ZHANG Wen-bin.Apply Genetic Algorithms to Solve dc-MST Problem[J].Journal of Harbin University of Science and Technology,2001,6(5):21-23,28.
Authors:WANG Dong  ZHANG Wen-bin
Abstract:Genetic algorithm in which chromosome is based on coding of edge only solves the common MST problem, not being applied to the dc-MST problem. By the Cayley theorem in the graphic theory, we build GA in Which chromosome is based on coding of vertex, and apply this method to solve dc-MST. According to the result, it shows this method improves the searching pro- cess and attains the excellent answer in the whole field.
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