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math.CO2023★ 1 cited
Treewidth is Polynomial in Maximum Degree on Weakly Sparse Graphs Excluding a Planar Induced Minor
Édouard Bonnet, Jędrzej Hodor, Tuukka Korhonen +1
A graph contains a graph as an induced minor if can be obtained from after vertex deletions and edge contractions. We show that for every -vertex planar graph $H…
math.CO2023★ 2 cited
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…