Quadratic equations over free groups are NP-complete
Abstract
We prove that the problems of deciding whether a quadratic equation over a free group has a solution is NP-complete.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2008
- DOI:
- arXiv:
- arXiv:0802.3839
- Bibcode:
- 2008arXiv0802.3839K
- Keywords:
-
- Mathematics - Group Theory;
- 68Q17 (Primary);
- 20E05;
- 57M07 (Secondary)
- E-Print:
- Theor. Comput. Syst.47 (2010), no 1, 250 -- 258