7 citations · 11 across the 11 of their papers we have counts for
4 papers · 1 filter
On polynomial degree-boundedness
Romain Bourneuf, Matija Bucić, Linda Cook +1
We prove a conjecture of Bonamy, Bousquet, Pilipczuk, Rzążewski, Thomassé, and Walczak, that for every graph , there is a polynomial such that for every positive integer …
Factoring Pattern-Free Permutations into Separable ones
Édouard Bonnet, Romain Bourneuf, Colin Geniet +1
We show that for any permutation there exists an integer such that every permutation avoiding as a pattern is a product of at most separable permutations. In ot…
A tamed family of triangle-free graphs with unbounded chromatic number
Édouard Bonnet, Romain Bourneuf, Julien Duron +3
We construct a hereditary class of triangle-free graphs with unbounded chromatic number, in which every non-trivial graph either contains a pair of non-adjacent twins or has an edg…
Bounded twin-width graphs are polynomially -bounded
Romain Bourneuf, Stéphan Thomassé
We show that every graph with twin-width has chromatic number for some integer , where denotes the clique number. This extends a quasi-polynomial bound fr…