ON THE COMPLEXITY OF THE WHITEHEAD MINIMIZATION PROBLEM
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Publication:3502844
DOI10.1142/S0218196707004244zbMath1149.20024arXivmath/0608779MaRDI QIDQ3502844
Abdó Roig, Enric Ventura Capell, Pascal Weil
Publication date: 20 May 2008
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0608779
algorithmsfinitely generated subgroupsautomorphismsfree groupsautomorphic orbitsWhitehead minimization problem
Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)
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Cites Work
- Unnamed Item
- Generic properties of Whitehead's algorithm and isomorphism rigidity of random one-relator groups.
- Topology of finite graphs
- On submodular function minimization
- An \(O(V^{5/3}E^{2/3})\) algorithm for the maximal flow problem
- Automorphism group of a free group: Centralizers and stabilizers
- Automorphic orbits in free groups.
- Stallings foldings and subgroups of free groups
- A combinatorial algorithm minimizing submodular functions in strongly polynomial time.
- On equivalent sets of elements in a free group
- A combinatorial, strongly polynomial-time algorithm for minimizing submodular functions
- Maximal Flow Through a Network
- On Whitehead’s algorithm
- Heuristics for the Whitehead Minimization Problem
- A FAST ALGORITHM FOR STALLINGS' FOLDING PROCESS
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