Constant-factor LP-based approximation for Max Dist-2 Independent Set (and Min Dominating Set) in bounded radius-2 merge-width graphs, with the domination-to-2-independence ratio shown bounded and tight for radius-1.
Twin-Width III: Max Independent Set, Min Dominating Set, and Coloring
2 Pith papers cite this work. Polarity classification is still indexing.
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Graphs of bounded VC-dimension have sub-linear twin-width, shown via a new contraction tool on neighborhood partitions, plus tighter bounds for interval graphs.
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Constant-factor approximation of maximum distance-2 independent set in graphs of bounded merge-width
Constant-factor LP-based approximation for Max Dist-2 Independent Set (and Min Dominating Set) in bounded radius-2 merge-width graphs, with the domination-to-2-independence ratio shown bounded and tight for radius-1.