J. Angeles, Rational Kinematics, 1989.
DOI : 10.1007/978-1-4612-3916-1

S. Basu, R. Pollack, and M. Roy, Algorithms in Real Algebraic Geometry, Algorithms and Computation in Mathematics, vol.10, 2006.
DOI : 10.1007/978-3-662-05355-3

URL : https://hal.archives-ouvertes.fr/hal-01083587

D. N. Bernstein, The number of roots of a system of equations, Functional Analysis and Its Applications, vol.30, issue.2, pp.183-185, 1975.
DOI : 10.1007/BF01075595

L. M. Blumenthal, Theory and Applications of Distance Geometry, 1970.

C. Borcea, Point configurations and Cayley-Menger varieties, 2002.

C. Borcea and I. Streinu, The Number of Embeddings of Minimally Rigid Graphs, Discrete and Computational Geometry, vol.31, issue.2, pp.287-303, 2004.
DOI : 10.1007/s00454-003-2902-0

R. Bowen and S. Fisk, Generation of triangulations of the sphere, Mathematics of Computation, vol.21, issue.98, pp.250-252, 1967.

A. Cayley, On a Theorem in the Geometry of Position, Cambridge Mathematical Journal, vol.2, pp.267-271, 1841.
DOI : 10.1017/CBO9780511703676.002

C. L. Collins, Forward kinematics of planar parallel manipulators in the Clifford algebra of P 2 . Mechanism & Machine Theory, pp.799-813, 2002.

D. Cox, J. Little, and D. Shea, Using Algebraic Geometry. Number 185 in GTM, 2005.
DOI : 10.1007/978-1-4757-6911-1

J. Dattorro, Convex Optimization & Euclidean Distance Geometry, Meboo USA, 2011.

M. M. Deza and M. Laurent, Geometry of cuts and metrics, 1997.
DOI : 10.1007/978-3-642-04295-9

P. Dietmeier, The Stewart-Gough Platform of General Geometry can have 40 Real Postures, Advances in Robot Kinematics: Analysis and Control, pp.7-16, 1998.
DOI : 10.1007/978-94-015-9064-8_1

A. W. Dress and T. F. Havel, Distance geometry and geometric algebra, Foundations of Physics, vol.11, issue.10, pp.1357-1374, 1991.
DOI : 10.1007/BF01883783

I. Z. Emiris and J. F. Canny, Efficient Incremental Algorithms for the Sparse Resultant and the Mixed Volume, Journal of Symbolic Computation, vol.20, issue.2, pp.117-149, 1995.
DOI : 10.1006/jsco.1995.1041

I. Z. Emiris and G. Moroz, The assembly modes of rigid 11-bar linkages, Proc. IFToMM World Congress in Mechanism & Machine Science, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00530327

I. Z. Emiris and B. Mourrain, Computer Algebra Methods for Studying and Computing Molecular Conformations, Algorithmica, vol.25, issue.2-3, pp.372-402, 1999.
DOI : 10.1007/PL00008283

I. Z. Emiris, E. Tsigaridas, and A. Varvitsiotis, Algebraic Methods for Counting Euclidean Embeddings of Rigid Graphs, Graph Drawing, pp.195-200, 2009.
DOI : 10.1007/978-3-642-11805-0_19

T. Eren, D. K. Goldenberg, W. Whiteley, Y. R. Yang, A. S. Morse et al., Rigidity, computation, and randomization in network localization, IEEE INFOCOM 2004, pp.2673-2684, 2004.
DOI : 10.1109/INFCOM.2004.1354686

J. C. Faugère and D. Lazard, The combinatorial classes of parallel manipulators combinatorial classes of parallel manipulators. Mechanism & Machine Theory, pp.765-776, 1995.

H. Gluck, Almost all simply connected closed surfaces are rigid, Lect. Notes in Math, vol.66, pp.225-240, 1975.
DOI : 10.2307/1969908

V. Gomez-jauregui, Tensegrity Structures and their Application to Architecture, 2004.

C. M. Gosselin, J. Sefrioui, and M. J. Richard, Solutions polynomiales auprobì eme de la cinématique directe des manipulateursparalì eles plansàplansà trois degrés de liberté. Mechanism and Machine Theory, pp.107-119, 1992.
DOI : 10.1016/0094-114x(92)90001-x

J. C. Gower, Euclidean distance geometry, Math. Sci, vol.1, pp.1-14, 1982.

P. Guentert, C. Mumenthaler, and K. Wuthrich, Torsion angle dynamics for NMR structure calculation with the new program Dyana, Journal of Molecular Biology, vol.273, issue.1, pp.283-298, 1997.
DOI : 10.1006/jmbi.1997.1284

J. Harris and L. W. Tu, On symmetric and skew-symmetric determinantal varieties, Topology, vol.23, issue.1, pp.71-84, 1984.
DOI : 10.1016/0040-9383(84)90026-0

T. F. Havel, Distance Geometry: Theory, Algorithms, and Chemical Applications, Encyclopedia of Computational Chemistry, pp.723-742, 1998.
DOI : 10.1002/0470845015.cda018

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.183.1577

K. N. Hunt, Structural Kinematics of In-Parallel-Actuated Robot-Arms, Journal of Mechanisms Transmissions and Automation in Design, vol.105, issue.4, pp.705-712, 1983.
DOI : 10.1115/1.3258540

D. J. Jacobs, A. J. Rader, L. A. Kuhn, and M. F. Thorpe, Protein flexibility predictions using graph theory, Proteins: Structure, Function, and Genetics, vol.238, issue.2, pp.150-165, 2001.
DOI : 10.1002/prot.1081

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.5142

N. Krislock and H. Wolkowicz, Explicit Sensor Network Localization using Semidefinite Representations and Facial Reductions, SIAM Journal on Optimization, vol.20, issue.5, pp.2679-2708, 2010.
DOI : 10.1137/090759392

URL : http://arxiv.org/abs/1002.0013

G. Laman, On graphs and rigidity of plane skeletal structures, Journal of Engineering Mathematics, vol.4, issue.4, pp.331-340, 1970.
DOI : 10.1007/BF01534980

C. Lavor, A. Mucherino, L. Liberti, and N. Maculan, On the computation of protein backbones by using artificial backbones of hydrogens, Journal of Global Optimization, vol.43, issue.3???4, pp.329-344, 2011.
DOI : 10.1007/s10898-010-9584-y

L. Liberti, C. Lavor, B. Masson, and A. Mucherino, Polynomial cases of the discretizable molecular distance geometry problem, Arxiv preprint, 2011.

T. Malliavin and F. Dardel, Structure des protéines par RMN, Sciences Fondamentales, pp.6608-6609, 2002.

J. C. Maxwell, On the Calculation of the Equilibrium and Stiffness of Frames, Philosophical Magazine, vol.39, issue.12, p.1864
DOI : 10.1017/CBO9780511698095.029

K. Menger, Géométrie générale, Mémorial des Sciences Mathématiques, 1954.

I. J. Schönberg, Remarks to Maurice Frechet's Article ``Sur La Definition Axiomatique D'Une Classe D'Espace Distances Vectoriellement Applicable Sur L'Espace De Hilbert, The Annals of Mathematics, vol.36, issue.3, pp.724-732, 1935.
DOI : 10.2307/1968654

R. Steffens and T. Theobald, Mixed volume techniques for embeddings of Laman graphs, Computational Geometry, vol.43, issue.2, pp.84-93, 2010.
DOI : 10.1016/j.comgeo.2009.04.004

J. Verschelde, Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation, ACM Transactions on Mathematical Software, vol.25, issue.2, pp.251-276, 1999.
DOI : 10.1145/317275.317286

D. Walter and M. Husty, On a 9-bar linkage, its possible configurations and conditions for paradoxical mobility, Proc. IFToMM World Congress in Mechanism & Machine Science, 2007.

D. Walter and M. L. Husty, A spatial 9-bar linkage, possible configurations and conditions for paradoxical mobility, Proc. NaCoMM, pp.195-208, 2007.

W. Whiteley, Rigidity and scene analysis, Handbook of Discrete and Computational Geometry, pp.893-916, 2004.
DOI : 10.1201/9781420035315.ch60

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.422.4338

W. Whiteley and T. S. Tay, Generating isostatic frameworks, Structural topology, vol.11, pp.21-69, 1985.

W. Wunderlich, Gefärlice annahmen der trilateration und bewegliche afchwerke I, Zeitschrift für Angewandte Mathematik und Mechanik, pp.297-304, 1977.
DOI : 10.1002/zamm.19770570605

Z. Zhu, A. M. So, and Y. Ye, Universal Rigidity and Edge Sparsification for Sensor Network Localization, SIAM Journal on Optimization, vol.20, issue.6, pp.3059-3081, 2010.
DOI : 10.1137/090772009