Exact Algorithms for Maximum Acyclic Subgraph on a Superclass of Cubic Graphs
Identifieur interne : 001596 ( Istex/Curation ); précédent : 001595; suivant : 001597Exact Algorithms for Maximum Acyclic Subgraph on a Superclass of Cubic Graphs
Auteurs : Henning Fernau [Allemagne] ; Daniel Raible [Allemagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 2008.
Abstract
Abstract: Finding a maximum acyclic subgraph is on the list of problems that seem to be hard to tackle from a parameterized perspective. We develop two quite efficient algorithms (one is exact, the other parameterized) for (1,n)-graphs, a class containing cubic graphs. The running times are $\mathcal{O}^*(1.1871^m)$ and $\mathcal{O}^*(1.212^k)$ , respectively, determined by an amortized analysis via a non-standard measure.
Url:
DOI: 10.1007/978-3-540-77891-2_14
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<front><div type="abstract" xml:lang="en">Abstract: Finding a maximum acyclic subgraph is on the list of problems that seem to be hard to tackle from a parameterized perspective. We develop two quite efficient algorithms (one is exact, the other parameterized) for (1,n)-graphs, a class containing cubic graphs. The running times are $\mathcal{O}^*(1.1871^m)$ and $\mathcal{O}^*(1.212^k)$ , respectively, determined by an amortized analysis via a non-standard measure.</div>
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