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Jul 2026

On the Impact of Stability and the Helly Property on the Dominating Set Problem

This work shows that -- with a simple change -- in the case of Dominating Set, one can get rid of the stability requirement and result in a fixed-parameter tractable algorithm on exactly those graph classes which do not contain long co-matchings or double-ladders as semi-induced subgraphs.

Che Cheng, Daniel Mock, Peter Rossmanith · 0 citations

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