Branches in random recursive k-ary trees

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Abstract:

In this paper, using generalized {polya} urn models we find the expected value of the size of a branch in recursive $k$-ary trees. We also find the expectation of the number of nodes of a given outdegree in a branch of such trees.

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Journal title

volume 38  issue 2

pages  323- 331

publication date 2012-07-15

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