Fischer, E. and Lachish, Oded and Newman, I. and Matsliah, A. and Yahalom, O. (2008) On the query complexity of testing orientations for being Eulerian. In: Goel, A. and Jansen, K. and Rolim, J. and Rubinfeld, J. (eds.) Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques. Lecture Notes in Computer Science 5171. Berlin, Germany: Springer Verlag, pp. 402-415. ISBN 9783540853633.
Abstract
We consider testing directed graphs for being Eulerian in the orientation model introduced in [15]. Despite the local nature of the property of being Eulerian, it turns out to be significantly harder for testing than other properties studied in the orientation model. We show a non-constant lower bound on the query complexity of 2-sided tests and a linear lower bound on the query complexity of 1-sided tests for this property. On the positive side, we give several 1-sided and 2-sided tests, including a sub-linear query complexity 2-sided test for general graphs. For special classes of graphs, including bounded-degree graphs and expander graphs, we provide improved results. In particular, we give a 2-sided test with constant query complexity for dense graphs, as well as for expander graphs with a constant expansion parameter.
Metadata
| Item Type: | Book Section |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Sarah Hall |
| Date Deposited: | 30 May 2013 16:05 |
| Last Modified: | 09 Aug 2023 12:33 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/7138 |
Statistics
Additional statistics are available via IRStats2.
Archive Staff Only (login required)
