| O（n）—时间有序树生成算法 |
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| 引用本文： | 姜学东. O（n）—时间有序树生成算法[J]. 四川大学学报(自然科学版), 1993, 30(2): 176-183 |
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| 作者姓名： | 姜学东 |
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| 作者单位： | 四川大学国民经济管理系 |
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| 摘 要： | 以平面上长2π—2的简单、封闭随机行走为编码,构造了n结点有序树的顺序生成和随机生成算法.并证明顺序生成或随机生成任意一棵n结点有序树均是O(n)-时间的。对于有序树的生成来说,简单、封闭的随机行走是最有效的编码.
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| 关 键 词： | 有序树 随机行走 随机生成 |
O(n) -TIME GENERATION ALGORITHMS FOR N -NODE ORDERED TREE |
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| Jiang Xuedong. O(n) -TIME GENERATION ALGORITHMS FOR N -NODE ORDERED TREE[J]. Journal of Sichuan University (Natural Science Edition), 1993, 30(2): 176-183 |
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| Authors: | Jiang Xuedong |
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| Affiliation: | Department of Management and Economy |
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| Abstract: | The simple closed random walks of length 2N - 2 are vised as codewords for the sequential and random generation of N -node trees. The sequential generation procedure generates each codeword in 0(1)- time average. Ranking and Unranking procedures are proved to be O(n)- time, 0(n)- space. It is clear that the random walk is one of the most efficient and practical kind of codewords. |
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| Keywords: | ordered trees random walks random generation. |
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