We prove that every class of graphs 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 χ-bounded.
@article{arxiv.2107.03711,
title = {Stable graphs of bounded twin-width},
author = {Jakub Gajarský and Michał Pilipczuk and Szymon Toruńczyk},
journal= {arXiv preprint arXiv:2107.03711},
year = {2022}
}