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FOCS
1990
IEEE
13 years 9 months ago
Complexity of Unification in Free Groups and Free Semi-groups
The exponent of periodicity is an important factor in estimates of complexity of word-unification algorithms. We prove that the exponent of periodicity of a minimal solution of a w...
Antoni Koscielski, Leszek Pacholski
IJAC
2007
59views more  IJAC 2007»
13 years 4 months ago
Polynomial-Time Complexity for Instances of the Endomorphism Problem in Free Groups
Abstract. We say the endomorphism problem is solvable for an element W in a free group F if it can be decided effectively whether, given U in F , there is an endomorphism φ of F ...
Laura Ciobanu
IJAC
2007
116views more  IJAC 2007»
13 years 4 months ago
On the Complexity of the Whitehead Minimization Problem
The Whitehead minimization problem consists in finding a minimum size element in the automorphic orbit of a word, a cyclic word or a finitely generated subgroup in a finite rank...
Abdó Roig, Enric Ventura, Pascal Weil
DFN
2003
13 years 6 months ago
Virtual Private Networks Coping with Complexity
: Large-scale deployment of virtual private networks with hundreds or thousands of clients means a constant battle with complexity that can only be won by setting up powerful authe...
Andreas Steffen
IJAC
2008
97views more  IJAC 2008»
13 years 4 months ago
Random Generation of Finitely Generated Subgroups of a Free Group
We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertic...
Frédérique Bassino, Cyril Nicaud, Pa...