{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T02:43:12Z","timestamp":1784860992153,"version":"3.55.0"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2009,8,28]],"date-time":"2009-08-28T00:00:00Z","timestamp":1251417600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2010,6]]},"DOI":"10.1007\/s00454-009-9220-0","type":"journal-article","created":{"date-parts":[[2009,8,28]],"date-time":"2009-08-28T13:24:22Z","timestamp":1251465862000},"page":"717-735","source":"Crossref","is-referenced-by-count":61,"title":["Global Rigidity: The Effect of Coning"],"prefix":"10.1007","volume":"43","author":[{"given":"R.","family":"Connelly","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"W. J.","family":"Whiteley","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2009,8,28]]},"reference":[{"issue":"2","key":"9220_CR1","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/s11276-007-0034-9","volume":"15","author":"B.D.O. Anderson","year":"2009","unstructured":"Anderson, B.D.O., Belhumeur, P., Eren, T., Goldenberg, D., Morse, A.S., Whiteley, W., Yang, Y.: Graphical properties of easily localizable sensor networks. Wirel. Netw. 15(2), 177\u2013191 (2009)","journal-title":"Wirel. Netw."},{"issue":"1","key":"9220_CR2","doi-asserted-by":"crossref","first-page":"27","DOI":"10.2140\/pjm.1980.90.27","volume":"90","author":"E.D. Bolker","year":"1980","unstructured":"Bolker, E.D., Roth, B.: When is a bipartite graph a rigid framework? Pac. J. Math. 90(1), 27\u201344 (1980)","journal-title":"Pac. J. Math."},{"key":"9220_CR3","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/S0095-8956(02)00037-0","volume":"88","author":"A. Berg","year":"2003","unstructured":"Berg, A., Jord\u00e1n, T.: A proof of Connelly\u2019s conjecture on 3-connected circuits of the rigidity matroid. J. Comb. Theory, Ser. B 88, 77\u201397 (2003)","journal-title":"J. Comb. Theory, Ser. B"},{"key":"9220_CR4","unstructured":"Cheung, M., Whiteley, W.: Transfer of global rigidity results among dimensions: graph powers and coning. Preprint, York University, Revised 2008"},{"issue":"1","key":"9220_CR5","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/BF01404753","volume":"66","author":"R. Connelly","year":"1982","unstructured":"Connelly, R.: Rigidity and energy. Invent. Math. 66(1), 11\u201333 (1982)","journal-title":"Invent. Math."},{"key":"9220_CR6","series-title":"DIMACS Ser. Discrete Math, Theoret. Comput. Sci.","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1090\/dimacs\/004\/11","volume-title":"Applied Geometry and Discrete Mathematics","author":"R. Connelly","year":"1991","unstructured":"Connelly, R.: On generic global rigidity. In: Applied Geometry and Discrete Mathematics. DIMACS Ser. Discrete Math, Theoret. Comput. Sci., vol. 4, pp. 147\u2013155. AMS, Providence (1991)"},{"key":"9220_CR7","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1007\/s00454-004-1124-4","volume":"33","author":"R. Connelly","year":"2005","unstructured":"Connelly, R.: Generic global rigidity. Discrete Comput. Geometry 33, 549\u2013563 (2005)","journal-title":"Discrete Comput. Geometry"},{"key":"9220_CR8","unstructured":"Connelly, R., Jord\u00e1n, T., Whiteley, W.: Generic global rigidity of body bar frameworks. Preprint (2009)"},{"key":"9220_CR9","doi-asserted-by":"crossref","unstructured":"Eren, T., Goldenberg, D., Whiteley, W., Morse, A., Anderson, B.D.O., Belhumeur, P.: Rigidity, computation, and randomization in network localization. In: Proceedings of the International Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), Hong Kong, March 2004, pp. 2673\u20132684","DOI":"10.1109\/INFCOM.2004.1354686"},{"key":"9220_CR10","unstructured":"Gortler, S., Healy, A., Thurston, D.: Characterizing generic global rigidity. arXiv: 0710.0907v1 (2007)"},{"key":"9220_CR11","series-title":"Dolciani Mathematical Expositions","doi-asserted-by":"crossref","DOI":"10.1090\/dol\/025","volume-title":"Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures","author":"J. Graver","year":"2001","unstructured":"Graver, J.: Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures. Dolciani Mathematical Expositions, vol.\u00a025. The Mathematical Association of America, Washington (2001)"},{"key":"9220_CR12","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1137\/0221008","volume":"21","author":"B. Hendrickson","year":"1992","unstructured":"Hendrickson, B.: Conditions for unique graph realizations. SIAM J. Comput. 21, 65\u201384 (1992)","journal-title":"SIAM J. Comput."},{"key":"9220_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jctb.2004.11.002","volume":"94","author":"B. Jackson","year":"2005","unstructured":"Jackson, B., Jord\u00e1n, T.: Connected rigidity matroids and unique realization graphs. J. Comb. Theory B 94, 1\u201329 (2005)","journal-title":"J. Comb. Theory B"},{"issue":"3","key":"9220_CR14","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1007\/s00454-005-1225-8","volume":"35","author":"B. Jackson","year":"2006","unstructured":"Jackson, B., Jord\u00e1n, T., Szabadka, Z.: Globally linked pairs of vertices in equivalent realizations of graphs. Discrete Comput. Geom. 35(3), 493\u2013512 (2006)","journal-title":"Discrete Comput. Geom."},{"issue":"6-7","key":"9220_CR15","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1016\/j.comgeo.2008.09.007","volume":"42","author":"T. Jord\u00e1n","year":"2009","unstructured":"Jord\u00e1n, T., Szabadka, Z.: Operations preserving the global rigidity of graphs and frameworks in the plane. Comput. Geom. 42(6-7), 511\u2013521 (2009)","journal-title":"Comput. Geom."},{"key":"9220_CR16","unstructured":"Pogorelov, A.V.: A Study of Surfaces in an Elliptic Space, (English Translation of the Russian Title \u201cNekotorye Voprosy Teorii Poverkhnostei\u201d) Hindustan Publishing Corporation (India) 6-U.B., Jawahar Nagar, DELHI-6 (1964)"},{"key":"9220_CR17","unstructured":"Saliola, F., Whiteley, W.: Some notes on the equivalence of first-order rigidity in various geometries. Preprint Department of Mathematics, York University (2002)"},{"key":"9220_CR18","unstructured":"Saliola, F., Whiteley, W.: Averaging and equivalent frameworks: transfer among various geometries. Draft, Department of Mathematics, York University (2005)"},{"key":"9220_CR19","first-page":"20","volume":"11","author":"T.-S. Tay","year":"1985","unstructured":"Tay, T.-S., Whiteley, W.: Generating isostatic frameworks. Structural Topology 11, 20\u201369 (1985)","journal-title":"Structural Topology"},{"key":"9220_CR20","first-page":"53","volume":"8","author":"W. Whiteley","year":"1983","unstructured":"Whiteley, W.: Cones, infinity and one-story buildings. Struct. Topol. 8, 53\u201370 (1983)","journal-title":"Struct. Topol."},{"key":"9220_CR21","first-page":"23","volume":"16","author":"W. Whiteley","year":"1991","unstructured":"Whiteley, W.: Vertex splitting in isostatic frameworks. Struct. Topol. 16, 23\u201330 (1991)","journal-title":"Struct. Topol."},{"key":"9220_CR22","doi-asserted-by":"crossref","unstructured":"Whiteley, W.: Matroids from discrete geometry, In: Bonin, J.E., Oxley, J.G., Servatius, B. (eds.) Matroid Theory. American Mathematical Society, Contemporary Mathematics, vol. 197, pp. 171\u2013313 (1996)","DOI":"10.1090\/conm\/197\/02540"},{"key":"9220_CR23","doi-asserted-by":"crossref","unstructured":"Whiteley, W.: Rigidity and Scene Analysis, In: Goodman, J., O\u2019Rourke, J. (eds.) Handbook of Discrete and Computational Geometry, 2nd edn., pp. 1327\u20131354 (2004)","DOI":"10.1201\/9781420035315.ch60"}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-009-9220-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-009-9220-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-009-9220-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T04:41:13Z","timestamp":1633840873000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-009-9220-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,8,28]]},"references-count":23,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2010,6]]}},"alternative-id":["9220"],"URL":"https:\/\/doi.org\/10.1007\/s00454-009-9220-0","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,8,28]]}}}