An Experimental Study of Distance Sensitivity Oracles
Vincent Troy Williams · Digital Commons - University of South Florida (University of South Florida) · 2010
The paper \A Nearly Optimal Oracle for Avoiding Failed Vertices and Edges" by Aaron Bernstein and David Karger lays out a nearly optimal algorithm for nding the shortest distances and paths between vertices with any given single failure in constant time without reconstructing the oracle. Using their paper as a guideline, we have implemented their algorithm in C++ and recorded each step in this thesis. Each step has its own pseudo-code and its own analysis to prove that the entire oracle construction stays within the stated running time and total space bounds, from the authors. The effciency of the algorithm is compared against that of the brute-force methods total running time and total space needed. Using multiple test cases with an increasing number of vertices and edges, we have experimentally validated that their algorithm holds true to their statements of space, running time, and query time.