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» Some Group Theory Problems
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FOCS
1992
IEEE
15 years 1 months ago
Computing in Solvable Matrix Groups
We announce methods for e cient management of solvable matrix groups over nite elds. We show that solvability and nilpotence can be tested in polynomial-time. Such e ciency seems ...
Eugene M. Luks
GECCO
2007
Springer
185views Optimization» more  GECCO 2007»
15 years 3 months ago
Enhanced forma analysis of permutation problems
Forma analysis provides an approach to formally derive domain specific operators based on domain-independent operator templates by manipulating a set of equivalence relations (i....
Tao Gong, Andrew Tuson
ACNS
2008
Springer
94views Cryptology» more  ACNS 2008»
14 years 11 months ago
An Authentication Scheme Based on the Twisted Conjugacy Problem
The conjugacy search problem in a group G is the problem of recovering an x G from given g G and h = x-1 gx. The alleged computational hardness of this problem in some groups was...
Vladimir Shpilrain, Alexander Ushakov
101
Voted
SODA
2003
ACM
133views Algorithms» more  SODA 2003»
14 years 11 months ago
Integrality ratio for group Steiner trees and directed steiner trees
The natural relaxation for the Group Steiner Tree problem, as well as for its generalization, the Directed Steiner Tree problem, is a flow-based linear programming relaxation. We...
Eran Halperin, Guy Kortsarz, Robert Krauthgamer, A...
IJAC
2007
116views more  IJAC 2007»
14 years 9 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