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arXiv · 1810.00789

Enumerating minimal dominating sets in $K_t$-free graphs and variants

Marthe Bonamy·Oscar Defrain·Marc Heinrich·Jean-Florent Raymond·Michał Pilipczuk
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Abstract

It is a long-standing open problem whether the minimal dominating sets of a graph can be enumerated in output-polynomial time. In this paper we investigate this problem in graph classes defined by forbidding an induced subgraph. In particular, we provide output-polynomial time algorithms for $K_t$-free graphs and variants. This answers a question of Kant\'e et al. about enumeration in bipartite graphs.

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Marthe Bonamy, Oscar Defrain, Marc Heinrich, Jean-Florent Raymond, Michał Pilipczuk. 2018-10-01. Enumerating minimal dominating sets in $K_t$-free graphs and variants. https://arxiv.org/abs/1810.00789

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