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O(n)—时间有序树生成算法
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.
作者姓名:姜学东
作者单位:四川大学国民经济管理系
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.

关 键 词:有序树  随机行走  随机生成

O(n) -TIME GENERATION ALGORITHMS FOR N -NODE ORDERED TREE
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.
Authors:Jiang Xuedong
Institution:Department of Management and Economy
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.
Keywords:ordered trees  random walks  random generation  
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