{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T10:39:36Z","timestamp":1762252776202,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":33,"publisher":"ACM","license":[{"start":{"date-parts":[[2018,7,11]],"date-time":"2018-07-11T00:00:00Z","timestamp":1531267200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2018,7,11]]},"DOI":"10.1145\/3208976.3208994","type":"proceedings-article","created":{"date-parts":[[2018,7,12]],"date-time":"2018-07-12T17:46:44Z","timestamp":1531417604000},"page":"55-62","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs"],"prefix":"10.1145","author":[{"given":"Evangelos","family":"Bartzos","sequence":"first","affiliation":[{"name":"National Kapodistrian University of Athens &amp; ATHENA Research Center, Athens, Greece"}]},{"given":"Ioannis Z.","family":"Emiris","sequence":"additional","affiliation":[{"name":"National Kapodistrian University of Athens &amp; ATHENA Research Center, Athens, Greece"}]},{"given":"Jan","family":"Legersk\u00fd","sequence":"additional","affiliation":[{"name":"Johannes Kepler University Linz, Linz, Austria"}]},{"given":"Elias","family":"Tsigaridas","sequence":"additional","affiliation":[{"name":"Sorbonne Universit\u00e9, CNRS, INRIA, Paris, France"}]}],"member":"320","published-online":{"date-parts":[[2018,7,11]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"crossref","unstructured":"F. Bihan J. M. Rojast and F. Sottile. 2008. On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces. Algorithms in algebraic geometry. Springer 15--20.  F. Bihan J. M. Rojast and F. Sottile. 2008. On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces. Algorithms in algebraic geometry. Springer 15--20.","DOI":"10.1007\/978-0-387-75155-9_2"},{"key":"e_1_3_2_1_2_1","volume-title":"Sparse Polynomial Systems with many Positive Solutions from Bipartite Simplicial Complexes. arXiv:1510.05622","author":"Bihan F.","year":"2016","unstructured":"F. Bihan and P.-J. Spaenlehauer . 2016. Sparse Polynomial Systems with many Positive Solutions from Bipartite Simplicial Complexes. arXiv:1510.05622 ( 2016 ). F. Bihan and P.-J. Spaenlehauer. 2016. Sparse Polynomial Systems with many Positive Solutions from Bipartite Simplicial Complexes. arXiv:1510.05622 (2016)."},{"volume-title":"Theory and Applications of Distance Geometry","author":"Blumenthal L. M.","key":"e_1_3_2_1_3_1","unstructured":"L. M. Blumenthal . 1970. Theory and Applications of Distance Geometry . Chelsea Publishing Company , New York . L. M. Blumenthal. 1970. Theory and Applications of Distance Geometry. Chelsea Publishing Company, New York."},{"key":"e_1_3_2_1_4_1","volume-title":"Point configurations and Cayley-Menger Varieties. arXiv:math\/0207110","author":"Borcea C. S.","year":"2002","unstructured":"C. S. Borcea . 2002. Point configurations and Cayley-Menger Varieties. arXiv:math\/0207110 ( 2002 ). C. S. Borcea. 2002. Point configurations and Cayley-Menger Varieties. arXiv:math\/0207110 (2002)."},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-003-2902-0"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1137\/17M1118312"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"crossref","unstructured":"R. Connelly. 2005. Generic global rigidity. Discrete Comput. Geom. 33 549--563.  R. Connelly. 2005. Generic global rigidity. Discrete Comput. Geom. 33 549--563.","DOI":"10.1007\/s00454-004-1124-4"},{"key":"e_1_3_2_1_8_1","volume-title":"The Stewart-Gough platform of general geometry can have 40 real postures. Advances in Robot Kinematics: Analysis and Control","author":"Dietmaier P.","year":"1998","unstructured":"P. Dietmaier . 1998. The Stewart-Gough platform of general geometry can have 40 real postures. Advances in Robot Kinematics: Analysis and Control ( 1998 ), 1--10. P. Dietmaier. 1998. The Stewart-Gough platform of general geometry can have 40 real postures. Advances in Robot Kinematics: Analysis and Control (1998), 1--10."},{"key":"e_1_3_2_1_9_1","volume-title":"Distance Geometry: Theory, Methods and Applications\"","author":"Emiris I.Z.","year":"2013","unstructured":"I.Z. Emiris , E. Tsigaridas , and A. Varvitsiotis . 2013 . Mixed volume and distance geometry techniques for counting Euclidean embeddings of rigid graphs. Distance Geometry: Theory, Methods and Applications\" , edited by A. Mucherino, C. Lavor, L. Liberti and N. Maculan ( 2013), 23--45. I.Z. Emiris, E. Tsigaridas, and A. Varvitsiotis. 2013. Mixed volume and distance geometry techniques for counting Euclidean embeddings of rigid graphs. Distance Geometry: Theory, Methods and Applications\", edited by A. Mucherino, C. Lavor, L. Liberti and N. Maculan (2013), 23--45."},{"key":"e_1_3_2_1_10_1","volume-title":"IFToMM 2011 World Congress","author":"Emiris I. Z.","year":"2011","unstructured":"I. Z. Emiris and G. Moroz . 2011. The assembly modes of rigid 11-bar linkages . IFToMM 2011 World Congress , Jun 2011 , Guanajuato, Mexico (2011). I. Z. Emiris and G. Moroz. 2011. The assembly modes of rigid 11-bar linkages. IFToMM 2011 World Congress, Jun 2011, Guanajuato, Mexico (2011)."},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1007\/PL00008283"},{"key":"e_1_3_2_1_12_1","unstructured":"D.G. Emmerich. 1988. Structures Tendues et Autotendantes. Ecole d'Architecture de Paris la Villette.  D.G. Emmerich. 1988. Structures Tendues et Autotendantes. Ecole d'Architecture de Paris la Villette."},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"crossref","unstructured":"J.C. Faugere and D. Lazard. 1995. The combinatorial classes of parallel manipulators. Mechanism & Machine Theory 30(6) (1995) 765--776.  J.C. Faugere and D. Lazard. 1995. The combinatorial classes of parallel manipulators. Mechanism & Machine Theory 30(6) (1995) 765--776.","DOI":"10.1016\/0094-114X(94)00069-W"},{"key":"e_1_3_2_1_14_1","doi-asserted-by":"crossref","unstructured":"S. Gortler A. Healy and D. Thurston. 2010. Characterizing generic global rigidity. Am. J. Math. 132(4) (2010) 897--939.  S. Gortler A. Healy and D. Thurston. 2010. Characterizing generic global rigidity. Am. J. Math. 132(4) (2010) 897--939.","DOI":"10.1353\/ajm.0.0132"},{"key":"e_1_3_2_1_15_1","unstructured":"G. Grasegger C. Koutschan and E. Tsigaridas. 2018. Lower Bounds on the Number of Realizations of Rigid Graphs. Experimental Mathematics (2018) 1--12.  G. Grasegger C. Koutschan and E. Tsigaridas. 2018. Lower Bounds on the Number of Realizations of Rigid Graphs. Experimental Mathematics (2018) 1--12."},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1109\/MCSE.2007.55"},{"key":"e_1_3_2_1_17_1","volume-title":"Equivalent Realisations of Rigid Graphs. 10th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications","author":"Jackson B.","year":"2017","unstructured":"B. Jackson and J.C. Owen . 2017 . Equivalent Realisations of Rigid Graphs. 10th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications ( 2017 ), 283--289. B. Jackson and J.C. Owen. 2017. Equivalent Realisations of Rigid Graphs. 10th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications (2017), 283--289."},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"crossref","unstructured":"B. Jackson and J.C. Owen. 2018. Equivalent realisations of a rigid graph. Discrete Applied Mathematics (2018).  B. Jackson and J.C. Owen. 2018. Equivalent realisations of a rigid graph. Discrete Applied Mathematics (2018).","DOI":"10.1016\/j.dam.2017.12.009"},{"key":"e_1_3_2_1_19_1","unstructured":"J. Legersk\u00fd and E. Bartzos. 2018. Spatial graph embeddings and coupler curves -- source code and results. (2018).  J. Legersk\u00fd and E. Bartzos. 2018. Spatial graph embeddings and coupler curves -- source code and results. (2018)."},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1145\/1823931.1823933"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2013.01.020"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02574693"},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.5555\/1953048.2078195"},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19270070107"},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19320120606"},{"key":"e_1_3_2_1_26_1","first-page":"1593","article-title":"Rigidity and scene analysis. CRC Press LLC","volume":"61","author":"Schulze B.","year":"2017","unstructured":"B. Schulze and W. Whiteley . 2017 . Rigidity and scene analysis. CRC Press LLC , Chapter 61 , 1593 -- 1632 . B. Schulze and W. Whiteley. 2017. Rigidity and scene analysis. CRC Press LLC, Chapter 61, 1593--1632.","journal-title":"Chapter"},{"key":"e_1_3_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1090\/dimacs\/060\/11"},{"key":"e_1_3_2_1_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.comgeo.2009.04.004"},{"key":"e_1_3_2_1_29_1","unstructured":"T.-S. Tay and W. Whiteley. 1985. Generating isostatic frameworks. Topologie Structurale (1985) 21--69.  T.-S. Tay and W. Whiteley. 1985. Generating isostatic frameworks. Topologie Structurale (1985) 21--69."},{"key":"e_1_3_2_1_30_1","volume-title":"Proceedings of the 6th European Conference on Python in Science (EuroSciPy","author":"Verschelde J.","year":"2014","unstructured":"J. Verschelde . 2014 . Modernizing PHCpack through phcpy . In Proceedings of the 6th European Conference on Python in Science (EuroSciPy 2013). 71--76. J. Verschelde. 2014. Modernizing PHCpack through phcpy. In Proceedings of the 6th European Conference on Python in Science (EuroSciPy 2013). 71--76."},{"volume-title":"IFToMM World Congress","author":"Walter D.","key":"e_1_3_2_1_31_1","unstructured":"D. Walter and M. L. Husty . 2007. On a 9-bar linkage, its possible configurations and conditions for paradoxical mobility . IFToMM World Congress , Besan\u00e7on, France. D. Walter and M. L. Husty. 2007. On a 9-bar linkage, its possible configurations and conditions for paradoxical mobility. IFToMM World Congress, Besan\u00e7on, France."},{"key":"e_1_3_2_1_32_1","volume-title":"Robotics: Science and Systems","author":"Zelazo D.","year":"2012","unstructured":"D. Zelazo , A. Franchi , F. Allg\u00f6wer , H. H. B\u00fclthoff , and P.R. Giordano . 2012 . Rigidity Maintenance Control for Multi-Robot Systems . Robotics: Science and Systems , Sydney , Australia (2012). D. Zelazo, A. Franchi, F. Allg\u00f6wer, H. H. B\u00fclthoff, and P.R. Giordano. 2012. Rigidity Maintenance Control for Multi-Robot Systems. Robotics: Science and Systems, Sydney, Australia (2012)."},{"key":"e_1_3_2_1_33_1","doi-asserted-by":"publisher","DOI":"10.1137\/090772009"}],"event":{"name":"ISSAC '18: International Symposium on Symbolic and Algebraic Computation","sponsor":["SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"],"location":"New York NY USA","acronym":"ISSAC '18"},"container-title":["Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3208976.3208994","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3208976.3208994","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T01:08:49Z","timestamp":1750208929000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3208976.3208994"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7,11]]},"references-count":33,"alternative-id":["10.1145\/3208976.3208994","10.1145\/3208976"],"URL":"https:\/\/doi.org\/10.1145\/3208976.3208994","relation":{},"subject":[],"published":{"date-parts":[[2018,7,11]]},"assertion":[{"value":"2018-07-11","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}