Experimental Evaluations of Dynamic Algorithm for Maintaining Shortest-Paths Trees on Real-World Networks

Abstract

For a digraph G 1⁄4 ðV ;AÞ and a source vertex s 2 V , suppose that we wish to compute a shortest directed path from s to every vertex v 2 V n fsg (if exists) under several arc costs. Frigioni et al. (2000) proposed a dynamic algorithm which efficiently reuses the shortest-paths information computed for the previous arc costs. In this paper, we experimentally evaluate how such a dynamic algorithm works efficiently for real-world networks.