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Artículo
Dual Garside structure and reducibility of braids
(Elsevier, 2012-04-15)
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-theoretical properties. Namely, they showed ...
Artículo
Fast algorithmic Nielsen-Thurston classification of four-strand braids
(World Scientific Publishing, 2012-04)
We give an algorithm which decides the Nielsen-Thurston type of a given four-strand braid. The complexity of our algorithm is quadratic with respect to word length. The proof of its validity is based on a result which ...