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arxiv: 1410.5778 · v2 · pith:IHUUT6GYnew · submitted 2014-10-21 · 💻 cs.DS · cs.DM

Simple PTAS's for families of graphs excluding a minor

classification 💻 cs.DS cs.DM
keywords graphsminimumminorsimplealgorithmsapproximationcoverdominating
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We show that very simple algorithms based on local search are polynomial-time approximation schemes for Maximum Independent Set, Minimum Vertex Cover and Minimum Dominating Set, when the input graphs have a fixed forbidden minor.

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    Existence of bounded-genus supports for cross-free intersection hypergraphs from connected subgraphs of bounded-genus host graphs, generalizing prior planar results.