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The Twin-Width of Graphs of Bounded VC-Dimension

math.CO · 2026-06-19 · unverdicted · novelty 7.0

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.

Characterizations of monadic NIP

math.LO · 2021-04-27 · accept · novelty 7.0

The paper establishes multiple characterizations of monadic NIP theories, centered on a finite satisfiability condition for types, plus applications to hereditary classes of finite structures.

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