The stack-size of tries: a combinatorial study

  • Authors:
  • Markus E. Nebel

  • Affiliations:
  • Johann Wolfgang Goethe-Univ., Frankfurt am Main, Germany

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2002

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Abstract

In this paper, we introduce a class of extended binary trees that resembles all possible tree-structures of binary tries. Assuming a uniform distribution of those trees we prove that for being the number of internal nodes the average stack-size is given by . Since this result is quite similar to that for ordinary extended binary trees an attempt to find an explanation for that similarity using a quantitative level is made.