8 citations · 31 across the 13 of their papers we have counts for
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math.GR2011★ 5 cited
Fast nielsen-thurston classification of braids
Matthieu Calvez
We prove the existence of an algorithm which solves the reducibility problem in braid groups and runs in quadratic time with respect to the braid length for any fixed braid index.
math.GR2011★ 8 cited
Dual Garside structure and reducibility of braids
Matthieu Calvez
Benardete, Gutierrez and Nitecki showed an important result which relates the geometrical properties of a braid, as a homeomorphism of the punctured disk, to its algebraic Garside-…