On the Neighbourhood Helly of Some Graph Classes and Applications to the Enumeration of Minimal Dominating Sets
نویسندگان
چکیده
We prove that line graphs and path graphs have bounded neighbourhood Helly. As a consequence, we obtain output-polynomial time algorithms for enumerating the set of minimal dominating sets of line graphs and path graphs. Therefore, there exists an output-polynomial time algorithm that enumerates the set of minimal edge-dominating sets of any graph.
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