2 papers
cs.DS2022
Twin-width V: linear minors, modular counting, and matrix multiplication
Édouard Bonnet, Ugo Giocanti, Patrice Ossona de Mendez +1
We continue developing the theory around the twin-width of totally ordered binary structures, initiated in the previous paper of the series. We first introduce the notion of parity…
math.CO2021
Twin-width IV: ordered graphs and matrices
Édouard Bonnet, Ugo Giocanti, Patrice Ossona de Mendez +3
We establish a list of characterizations of bounded twin-width for hereditary, totally ordered binary structures. This has several consequences. First, it allows us to show that a…