Abstract
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.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the Twenty-Ninth AAAI Conference on Artificial Intelligence and the Twenty-Seventh Innovative Applications of Artificial Intelligence Conference |
| Subtitle of host publication | 25-30 January 2015 Austin, Texas USA |
| Editors | Blai Bonet, Sven Koenig |
| Place of Publication | Palo Alto California USA |
| Publisher | Association for the Advancement of Artificial Intelligence (AAAI) |
| Pages | 1100-1106 |
| Number of pages | 7 |
| Volume | 2 |
| ISBN (Print) | 9781577357001 |
| Publication status | Published - 2015 |
| Externally published | Yes |
| Event | AAAI Conference on Artificial Intelligence 2015 - Hyatt Regency, Austin, United States of America Duration: 25 Jan 2015 → 30 Jan 2015 Conference number: 29th http://www.aaai.org/Conferences/AAAI/aaai15.php |
Conference
| Conference | AAAI Conference on Artificial Intelligence 2015 |
|---|---|
| Abbreviated title | AAAI 2015 |
| Country | United States of America |
| City | Austin |
| Period | 25/01/15 → 30/01/15 |
| Other | Co-located with the 27th Innovative Applications of Artificial Intelligence Conference. Papers at the AAAI 2015 conference will be related here. Any papers presented at the IAAI 2015 part of the conference will be related to that event. The two conferences should have a "relation" to each other put in place to recognise that the conferences were combined into one proceedings. |
| Internet address |
Cite this
Botea, A., Strasser, B., & Harabor, D. (2015). Complexity results for compressing optimal paths. In B. Bonet, & S. Koenig (Eds.), Proceedings of the Twenty-Ninth AAAI Conference on Artificial Intelligence and the Twenty-Seventh Innovative Applications of Artificial Intelligence Conference: 25-30 January 2015 Austin, Texas USA (Vol. 2, pp. 1100-1106). Association for the Advancement of Artificial Intelligence (AAAI).