On the read-once property of branching programs and CNFs of bounded treewidth
Razgon, Igor (2015) On the read-once property of branching programs and CNFs of bounded treewidth. Algorithmica 75 (2), pp. 277-294. ISSN 0178-4617.
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Abstract
for non-deterministic (syntactic) read-once branching programs (nrobps) on functions expressible as cnfs with treewidth at most k of their primal graphs. This lower bound rules out the possibility of fixed-parameter space complexity of nrobps parameterized by k. We use lower bound for nrobps to obtain a quasi-polynomial separation between Free Binary Decision Diagrams and Decision Decomposable Negation Normal Forms, essentially matching the existing upper bound introduced by Beame et al. (Proceedings of the twenty-ninth conference on uncertainty in artificial intelligence, Bellevue, 2013) and thus proving the tightness of the latter.
Metadata
| Item Type: | Article |
|---|---|
| Additional Information: | The final publication is available at Springer via the link above. |
| Keyword(s) / Subject(s): | Read-once branching programs, CNFs, Bounded treewidth, Parameterized complexity, Space complexity, Lower bounds |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Administrator |
| Date Deposited: | 03 Jun 2016 09:32 |
| Last Modified: | 09 Aug 2023 12:38 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/15405 |
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