A Model of Forming a Simple Path in a Level of a Complete K-ary Tree Maximizing Total Shortening Path Length

نویسنده

  • Kiyoshi Sawada
چکیده

This study proposes a model of adding edges of forming a simple path to a level of depth N in a complete K-ary (K ≥ 3) tree of height H under giving priority to edges between two nodes of which the deepest common ancestor is deeper. An optimal depth N∗ is obtained by maximizing the total shortening path length which is the sum of shortening lengths of shortest paths between every pair of all nodes in the complete K-ary tree.

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تاریخ انتشار 2010