Complexity Results for Compressing Optimal Paths

In this work we give a first tractability analysis of Compressed Path Databases, space efficient oracles used to very quickly identify the first arc on a shortest path. We study the complexity of computing an optimal compressed path database for general directed and undirected graphs. We find that in both cases the problem is NP-complete. We also show that, for graphs which can be decomposed along articulation points, the problem can be decomposed into independent parts, with a corresponding reduction in its level of difficulty. In particular, this leads to simple and tractable algorithms which yield optimal compression results for trees.

• Type: Journal
• Year: 2015
• Where: AAAI
• Authors: Adi Botea, Ben Strasser, Daniel Harabor
• Keywords: AAAI 2015, Intelligent Agents