A polynomial bound on solutions of quadratic equations in free groups
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- Lysenok, I.G. & Myasnikov, A.G. Proc. Steklov Inst. Math. (2011) 274: 136. doi:10.1134/S0081543811060101
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We provide polynomial upper bounds on the size of a shortest solution for quadratic equations in a free group. A similar bound is given for parametric solutions in the description of solution sets of quadratic equations in a free group.