Finding hamilton cycles in sparse random graphs

Finding hamilton cycles in sparse random graphs
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DOI:
10.1016/0095-8956(88)90089-5
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发表时间:
1987-04
期刊:
J. Comb. Theory B
影响因子:
--
通讯作者:
A. Frieze
A. Frieze
中科院分区:
其他
文献类型:
--
作者:
A. Frieze

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我们描述了一个多项式时间(O(n3 logn))的算法,该算法在两类具有常数平均度的随机图:Them-out模型和随机正则图模型中具有很高的概率找到汉密尔顿圈.我们还展示了如何使用该算法在稀疏随机图中找到一个大的周期。
We describe a polynomial time (O(n3logn)) algorithm which has a high probability of finding hamilton cycles in two classes of random graph which have constant average degree: them-out model and the random regular graph model. We also show how the algorithm can be used to find a large cycle in a sparse random graph.