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.
翻译:我们证明每类图表$\mathscr C$,在月度上稳定,并且已经捆绑了双翼的美元,都可以从某一类中以被捆绑的稀疏双翼方式从某些类中导出。这概括了被捆绑的线性圆形和捆绑的圆形类的类似结果。它还意味着被捆绑的双维双翼的月度稳定等级以线性美元为单位。