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» Efficient solutions to the braid isotopy problem
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83
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DAM
2008
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14 years 10 months ago
Efficient solutions to the braid isotopy problem
We describe the most efficient solutions to the word problem of Artin's braid group known so far, i.e., in other words, the most efficient solutions to the braid isotopy probl...
Patrick Dehornoy
90
Voted
IJAC
2006
93views more  IJAC 2006»
14 years 10 months ago
On Word Reversing in Braid Groups
It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word reversings can increase the length of a...
Patrick Dehornoy, Bert Wiest
105
Voted
IJAC
2000
104views more  IJAC 2000»
14 years 10 months ago
Construction of Self-Distributive Operations and Charged Braids
Starting from a certain monoid that describes the geometry of the left self-distributivity identity, we construct an explicit realization of the free left self-distributive system ...
Patrick Dehornoy