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Isolating the most recent entry in a random recursive tree by random cuts

  • Mehri Javanian
  • Mohammad Q. Vahidi-asl
Article
  • 40 Downloads

Abstract

A recursive tree is constructed by starting with a root node and repeatedly adjoining new nodes to one node of the tree already constructed. Such a tree can represent, for example, the heirarchy of a workforce of a company that grows via recruiting. At times of economic depression, the company may decide to lay off participants, and in some cases it is a fair policy to relieve the last senior worker (most recent entry in the tree). If we remove an edge from such a tree then it falls into two subtrees one of which contains the most recent entry. If we continue to remove edges from the successively smaller subtrees that contain the most recent entry, we eventually isolate the most recent entry. We consider how many randomly selected edges must be removed in average before isolating the most recent entry by this procedure.

AMS Mathematics Subject Classification

05C05 05C80 68R05 

Key words and phrases

Recursive tree Tauberian theorem 

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Copyright information

© Korean Society for Computational and Applied Mathematics 2004

Authors and Affiliations

  1. 1.Department of StatisticsShahid Beheshti UniversityTehranIran

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