A combinatorial approach to the analysis of bucket recursive trees

نویسندگان

  • Markus Kuba
  • Alois Panholzer
چکیده

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.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 411  شماره 

صفحات  -

تاریخ انتشار 2010