On Time-Space Efficiency of Digital Trees with Adaptive Multidigit Branching

  • Authors:
  • Yu. A. Reznik

  • Affiliations:
  • RealNetworks, Inc., Seattle, WA, USA yreznik@ieee.org

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2003

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Abstract

Parameters of time-space efficiency and sparseness of nodes in trees with adaptive multidigit branching are studied. Both precise and asymptotic expressions, describing average behavior of these parameters in a memoryless model, are obtained. These expressions are used to establish a relation between parameters. As a result, conditions of time-space optimality of trees constructed with the use of Nilsson and Tikkanen algorithm are obtained.