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均匀递归树的去点问题(英文)
引用本文:李志民,毛明志. 均匀递归树的去点问题(英文)[J]. 数学杂志, 2012, 32(2): 211-216
作者姓名:李志民  毛明志
作者单位:1. 安徽工程大学数理学院,安徽芜湖,241000
2. 中国地质大学数学与物理学院,湖北武汉,430074
基金项目:Supported by Anhui Provincial Natural Science Foundation (10040606Q03);Anhui Polytechnic University Foundation for Recruiting Talent (2009YQQ005)
摘    要:本文研究了均匀递归树的去点过程.对于任意给定的点i,利用矩母函数,给出了对应子树顶点数的准确分布,推广了A.Panholzer所做的工作.

关 键 词:递归树  生成函数  极限分布

NODES DELETING IN THE UNIFORM RECURSIVE TREES
LI Zhi-min , MAO Ming-zhi. NODES DELETING IN THE UNIFORM RECURSIVE TREES[J]. Journal of Mathematics, 2012, 32(2): 211-216
Authors:LI Zhi-min    MAO Ming-zhi
Affiliation:1.School of Mathematics and Physics,Anhui Polytechnic University,Wuhu 241000,China)(2.School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China)
Abstract:In this paper,we consider the node deleting procedure of the uniform recursive trees.When the chosen node is i,we give the exact distribution of the remaining size of the subtree by means of generating function,which generalizes the work of A.Panholzer.
Keywords:recursive tree  generating function  limiting distribution
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