A decomposition-based framework finds entire sets of irrelevant vertices in linear time on bounded-genus graphs, enabling linear-time algorithms for minor containment, disjoint paths, and deletion problems.
Fellows, Jan Kratochvíl, Matthias Middendorf, and Frank Pfeiffer
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Finding irrelevant vertices in linear time on bounded-genus graphs
A decomposition-based framework finds entire sets of irrelevant vertices in linear time on bounded-genus graphs, enabling linear-time algorithms for minor containment, disjoint paths, and deletion problems.