A note on the complexity of rooted trees and hierarchies with possible applications to organization design and system architectures

  • Authors:
  • Peter P. Chen;Guoli Ding

  • Affiliations:
  • Department of Computer Science, Louisiana State University, Louisiana;Department of Mathematics, Louisiana State University, Louisiana

  • Venue:
  • MATH'05 Proceedings of the 8th WSEAS International Conference on Applied Mathematics
  • Year:
  • 2005

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Abstract

We define a complexity function over all rooted trees (i.e., Tree Hierarchies). The purpose of this note is to minimize this function, over all rooted trees on a fixed number of vertices. The results may be useful in the study of organization design and system architectures.