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2010

A combinatorial approach to the analysis of bucket recursive trees

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A combinatorial approach to the analysis of bucket recursive trees
In this work we provide a combinatorial analysis of bucket recursive trees, which have been introduced previously as a natural generalization of the growth model of recursive trees. Our analysis is based on the description of bucket recursive trees as a special instance of so called bucket increasing trees, which is a family of combinatorial objects introduced in this paper. Using this combinatorial description we obtain exact and limiting distribution results for the parameters depth of a specified element, descendants of a specified element and degree of a specified element.
Markus Kuba, Alois Panholzer
Added 31 Jan 2011
Updated 31 Jan 2011
Type Journal
Year 2010
Where TCS
Authors Markus Kuba, Alois Panholzer
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