Discrete Mathematics & Theoretical Computer Science, Vol 10, No 2 (2008)

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Analysis of some parameters for random nodes in priority trees

Alois Panholzer


Priority trees are a certain data structure used for priority queue administration. Under the model that all permutations of the numbers $1, \dots, n$ are equally likely to construct a priority tree of size $n$ we study the following parameters in size-$n$ trees: depth of a random node, number of right edges to a random node, and number of descendants of a random node. For all parameters studied we give limiting distribution results.

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