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Stable graphs of bounded twin-width

Published 8 Jul 2021 in cs.LO, cs.DM, and math.CO | (2107.03711v2)

Abstract: We prove that every class of graphs $\mathscr C$ that is monadically stable and has bounded twin-width can be transduced from some class with bounded sparse twin-width. This generalizes analogous results for classes of bounded linear cliquewidth and of bounded cliquewidth. It also implies that monadically stable classes of bounded twin-widthare linearly $\chi$-bounded.

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