The Solvability Problem for Quadratic Equations over Free Groups is NP-Complete

Olgo Kharlampovich, I. G. Lysënok, Alexei G. Myasnikov, Nicholas W. M. Touikan. The Solvability Problem for Quadratic Equations over Free Groups is NP-Complete. Theory Comput. Syst., 47(1):250-258, 2010. [doi]

@article{KharlampovichLMT10,
  title = {The Solvability Problem for Quadratic Equations over Free Groups is NP-Complete},
  author = {Olgo Kharlampovich and I. G. Lysënok and Alexei G. Myasnikov and Nicholas W. M. Touikan},
  year = {2010},
  doi = {10.1007/s00224-008-9153-7},
  url = {http://dx.doi.org/10.1007/s00224-008-9153-7},
  tags = {completeness},
  researchr = {https://researchr.org/publication/KharlampovichLMT10},
  cites = {0},
  citedby = {0},
  journal = {Theory Comput. Syst.},
  volume = {47},
  number = {1},
  pages = {250-258},
}