Counting Minimal Transversals of β-Acyclic Hypergraphs
Abstract
We prove that one can count in polynomial time the number of minimal transversals of β-acyclic hypergraphs. In consequence, we can count in polynomial time the number of minimal dominating sets of strongly chordal graphs, continuing the line of research initiated in [M.M. Kant\'e and T. Uno, Counting Minimal Dominating Sets, TAMC'17].
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