Efficient algorithms for locating a core of a tree network with a specified length

Abstract

The authors present efficient algorithms for finding a core of tree with a specified length for both sequential and parallel computational models. The algorithms can be readily extended to a tree network in which arcs have nonnegative integer lengths. The authors also present a parallel version of the algorithm on an EREW PRAM (parallel random access machine) model. The results presented might provide a basis for the study of other facility shapes such as trees and forests of fixed sizes.<>