Finding Induced Subgraphs via Minimal Triangulations
@inproceedings{Fomin2010FindingIS, title={Finding Induced Subgraphs via Minimal Triangulations}, author={F. Fomin and Yngve Villanger}, booktitle={STACS}, year={2010} }
Potential maximal cliques and minimal separators are combinatorial objects which were introduced and studied in the realm of minimal triangulation problems including Minimum Fill-in and Treewidth. We discover unexpected applications of these notions to the field of moderate exponential algorithms. In particular, we show that given an n-vertex graph G together with its set of potential maximal cliques, and an integer t, it is possible in time the number of potential maximal cliques times $O(n^{O… CONTINUE READING
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