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DLT
2010
13 years 6 months ago
Compressed Conjugacy and the Word Problem for Outer Automorphism Groups of Graph Groups
Abstract. It is shown that for graph groups (right-angled Artin groups) the conjugacy problem as well as a restricted version of the simultaneous conjugacy problem can be solved in...
Niko Haubold, Markus Lohrey, Christian Mathissen
IJAC
2010
128views more  IJAC 2010»
13 years 3 months ago
Compressed Words and Automorphisms in Fully Residually Free Groups
We show that the compressed word problem in a finitely generated fully residually free group (F-group) is decidable in polynomial time, and use this result to show that the word ...
Jeremy MacDonald
IJAC
2007
116views more  IJAC 2007»
13 years 5 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
CORR
2002
Springer
113views Education» more  CORR 2002»
13 years 4 months ago
Generic-case complexity, decision problems in group theory and random walks
We give a precise definition of "generic-case complexity" and show that for a very large class of finitely generated groups the classical decision problems of group theor...
Ilya Kapovich, Alexei G. Myasnikov, Paul Schupp, V...
STACS
1992
Springer
13 years 9 months ago
Graph Isomorphism is Low for PP
We show that the graph isomorphism problem is low for PP and for C=P, i.e., it does not provide a PP or C=P computation with any additional power when used as an oracle. Furthermor...
Johannes Köbler, Uwe Schöning, Jacobo To...