E. Bartzos, I. Z. Emiris, J. Legerský, and E. Tsigaridas, On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs, Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation, ISSAC '18, pp.55-62, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01710518

E. Bartzos and J. Legerský, Graph embeddings in the plane, space and sphere -source code and results, 2018.

D. Bernstein, The number of roots of a system of equations, Functional Analysis and Its Applications, vol.9, pp.183-185, 1975.

F. Bihan, J. M. Rojast, and F. Sottile, On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces, Algorithms in algebraic geometry, pp.15-20, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00380640

F. Bihan, F. Santos, and P. Spaenlehauer, A polyhedral method for sparse systems with many positive solutions, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01877602

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

C. S. Borcea, Point configurations and Cayley-Menger Varieties, 2002.

C. S. Borcea and I. Streinu, The Number of Embeddings of Minimally Rigid Graphs, Discrete & Computational Geometry, vol.2, pp.287-303, 2004.

J. Capco, M. Gallet, G. Grasegger, C. Koutschan, N. Lubbes et al., The Number of Realizations of a Laman Graph, SIAM Journal on Applied Algebra and Geometry, vol.2, issue.1, pp.94-125, 2018.

R. Connelly, Generic global rigidity, Discrete Comput. Geom, vol.33, pp.549-563, 2005.

M. Dattorro and J. Dattorro, Convex Optimization & Euclidean Distance Geometry, 2005.

P. Dietmaier, The Stewart-Gough platform of general geometry can have 40 real postures, Advances in Robot Kinematics: Analysis and Control, pp.1-10, 1998.

I. Z. Emiris and G. Moroz, The assembly modes of rigid 11-bar linkages, IFToMM 2011 World Congress, 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, pp.372-402, 1999.

I. Z. Emiris, E. Tsigaridas, and A. Varvitsiotis, Mixed volume and distance geometry techniques for counting Euclidean embeddings of rigid graphs, Distance Geometry: Theory, Methods and Applications, pp.23-45, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00776252

D. G. Emmerich, Structures Tendues et Autotendantes. Ecole d'Architecture de Paris la Villette, 1988.
URL : https://hal.archives-ouvertes.fr/hal-01903237

J. C. Faugère and D. Lazard, The combinatorial classes of parallel manipulators. Mechanism & Machine Theory, vol.30, pp.765-776, 1995.

S. Gortler, A. Healy, and D. Thurston, Characterizing generic global rigidity, Am. J. Math, vol.132, issue.4, pp.897-939, 2010.

G. Grasegger, C. Koutschan, and E. Tsigaridas, Lower Bounds on the Number of Realizations of Rigid Graphs, Experimental Mathematics, pp.1-12, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01711441

J. D. Hunter, Matplotlib: A 2D graphics environment, Computing In Science & Engineering, vol.9, issue.3, pp.90-95, 2007.

B. Jackson and J. C. Owen, Equivalent Realisations of Rigid Graphs, 10th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications, pp.283-289, 2017.

B. Jackson and J. C. Owen, Equivalent realisations of a rigid graph, Discrete Applied Mathematics, 2018.

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

L. Liberti, B. Masson, J. Lee, C. Lavor, and A. Mucherino, On the number of realizations of certain Henneberg graphs arising in protein conformation, Discrete Applied Mathematics, vol.165, pp.213-232, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01093060

J. C. Maxwell, On the calculation of the equilibrium and stiffness of frames, Philosophical Magazine, issue.12, p.1864

F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion et al., Scikit-learn: Machine Learning in Python, Journal of Machine Learning Research, vol.12, pp.2825-2830, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00650905

H. Pollaczek-geiringer, Über die Gliederung ebener Fachwerke. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), vol.7, pp.58-72, 1927.

H. Pollaczek-geiringer, Zur Gliederungstheorie räumlicher Fachwerke. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), vol.12, pp.369-376, 1932.

B. Schulze and W. Whiteley, Rigidity and scene analysis, chapter 61, pp.1593-1632, 2017.

F. Sottile, Enumerative real algebraic geometry, Algorithmic and Quantitative Real Algebraic Geometry, vol.60, pp.139-180, 2003.

R. Steffens and T. Theobald, Mixed volume techniques for embeddings of Laman graphs, Computational Geometry, vol.43, pp.84-93, 2010.

T. Tay and W. Whiteley, Generating isostatic frameworks. Topologie Structurale, pp.21-69, 1985.

J. Verschelde, Modernizing PHCpack through phcpy, Proceedings of the 6th European Conference on Python in Science, pp.71-76, 2013.

D. Walter and M. L. Husty, On a 9-bar linkage, its possible configurations and conditions for paradoxical mobility, IFToMM World Congress, 2007.

W. Whiteley, Cones, infinity and one-story buildings. Topologie Structurale, vol.8, pp.53-70, 1983.

D. Zelazo, A. Franchi, F. Allgöwer, H. H. Bülthoff, and P. R. Giordano, Rigidity Maintenance Control for Multi-Robot Systems, Robotics: Science and Systems, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01076423

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.