Depth of nodes in random recursive

Information Processing Letters(2006)

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摘要
In this paper, we find the expected degree of each node in random recursive k -ary trees. The expression found for the expected value is used to determine the exact distribution of the depth of n th node. It is further shown that the limiting distribution of the normalized depth of this node is a standard normal distribution.
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关键词
analysis of algorithms,combinatorial problems,recursive trees,limiting distributions
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