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DLT
2010
13 years 7 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 4 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 6 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 6 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 10 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...