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.
Erd˝ os–Hajnal Conjecture for Graphs with Bounded VC-Dimension,
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The Twin-Width of Graphs of Bounded VC-Dimension
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.