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有向图存在Hamilton圈的必要条件
NECESSARY CONDITION ABOUT THE EXISTENCE OF HAMILTON CIRCLE IN A DIRECTED GRAPH
【摘要】 应用随机过程理论——马尔柯夫链,我们得到有向图存在Hamilton圈的必要条件。一个不可约有向图(?)=(V,E)具有周期d,|V|=n,V能分解成V=C1+C2+…+Cd且Ck,K=1,2,…,d,是不相交的非空循环类。如果|Ck|不等于n/d,那么有向图不是一个有向的Hamilton图。
【Abstract】 Applying the stochastic processes theory-Markov Chain,We get a necessary con- dition about the existence of Hamilton circle in a directed graph.An irreducible di- rected graph =(V,E)has a period and|V|=n.V can be decomposed into V=C1 +C2+…+Cd,while Ck,k=1,2,…,d,are disjoint nonempty cyclic classes.If|Ck|is not equal to n/d,then directed graph is not a directed Hamilton graph.
- 【文献出处】 天津理工学院学报 , 编辑部邮箱 ,1991年01期
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