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Published:1980
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[1]陆生勋.平面化图的哈密顿圈的产生[J].电子学报,1980(01):29-36.
Lu Sheng-xun. Generation of All Hamiltonian Cycles in a Plane Graph[J]. Acta Electronica Sinica, 1980, (1): 29-36.
本文提出如何利用修正的王氏积产生平面化图的全部哈密顿圈。这种方法较以前的计算简单得多。它的计算步骤在文中以举例的方式作了说明。为了保证算法的正确
导出了一个2-树是2-顶点树的充要条件。
This paper is to show how a modified Wang product can be used to generate all the Hamil-tonian cycles in a plane graph with considerably less computation than previousely reported. The method is explained in detail with examples. To assure correct algorithm a necessary and sufficient condition for a 2-tree to be a vertex 2-tree is derived. A vertex graph is said to be a vertex 2-tree
if it has 2-com-ponents and contains no cycles.
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