{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:46:30Z","timestamp":1740109590125,"version":"3.37.3"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2023,3,1]],"date-time":"2023-03-01T00:00:00Z","timestamp":1677628800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,3,1]],"date-time":"2023-03-01T00:00:00Z","timestamp":1677628800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2023,6]]},"DOI":"10.1007\/s00454-022-00477-7","type":"journal-article","created":{"date-parts":[[2023,3,1]],"date-time":"2023-03-01T15:03:48Z","timestamp":1677683028000},"page":"1079-1094","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Dense Graphs Have Rigid Parts"],"prefix":"10.1007","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2910-436X","authenticated-orcid":false,"given":"Orit E.","family":"Raz","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J\u00f3zsef","family":"Solymosi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,3,1]]},"reference":[{"key":"477_CR1","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1090\/S0002-9947-1978-0511410-9","volume":"245","author":"L Asimow","year":"1978","unstructured":"Asimow, L., Roth, B.: The rigidity of graphs. Trans. Am. Math. Soc. 245, 279\u2013289 (1978)","journal-title":"Trans. Am. Math. Soc."},{"issue":"1","key":"477_CR2","doi-asserted-by":"publisher","first-page":"27","DOI":"10.2140\/pjm.1980.90.27","volume":"90","author":"ED 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."},{"issue":"4","key":"477_CR3","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1017\/S0963548311000137","volume":"20","author":"G Elekes","year":"2011","unstructured":"Elekes, G., Sharir, M.: Incidences in three dimensions and distinct distances in the plane. Comb. Probab. Comput. 20(4), 571\u2013608 (2011)","journal-title":"Comb. Probab. Comput."},{"issue":"1","key":"477_CR4","first-page":"548","volume":"11","author":"G Grasegger","year":"2020","unstructured":"Grasegger, G., Legersk\u00fd, J., Schicho, J.: On the classification of motions of paradoxically movable graphs. J. Comput. Geom. 11(1), 548\u2013575 (2020)","journal-title":"J. Comput. Geom."},{"issue":"1","key":"477_CR5","doi-asserted-by":"publisher","first-page":"155","DOI":"10.4007\/annals.2015.181.1.2","volume":"181","author":"L Guth","year":"2015","unstructured":"Guth, L., Katz, N.H.: On the Erd\u0151s distinct distances problem in the plane. Ann. Math. 181(1), 155\u2013190 (2015)","journal-title":"Ann. Math."},{"key":"477_CR6","doi-asserted-by":"crossref","unstructured":"Koll\u00e1r, J.: Szemer\u00e9di\u2013Trotter-type theorems in dimension 3. Adv. Math. 271, 30\u201361 (2015)","DOI":"10.1016\/j.aim.2014.11.014"},{"key":"477_CR7","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/BF01534980","volume":"4","author":"G Laman","year":"1970","unstructured":"Laman, G.: On graphs and rigidity of plane skeletal structures. J. Eng. Math. 4, 331\u2013340 (1970)","journal-title":"J. Eng. Math."},{"key":"477_CR8","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1016\/S0304-3975(00)00254-1","volume":"263","author":"H Maehara","year":"2001","unstructured":"Maehara, H., Tokushige, N.: When does a planar bipartite framework admit a continuous deformation? Theoret. Comput. Sci. 263, 345\u2013354 (2001)","journal-title":"Theoret. Comput. Sci."},{"issue":"1","key":"477_CR9","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1002\/zamm.19270070107","volume":"7","author":"H Pollaczek-Geiringer","year":"1927","unstructured":"Pollaczek-Geiringer, H.: \u00dcber die Gliederung ebener Fachwerke. Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik 7(1), 58\u201372 (1927)","journal-title":"Zeitschrift f\u00fcr Angewandte Mathematik und Mechanik"},{"key":"477_CR10","doi-asserted-by":"crossref","unstructured":"Raz, O.E.: Configurations of lines in space and combinatorial rigidity. Discrete Comput. Geom. 58(4), 986\u20131009 (2017)","DOI":"10.1007\/s00454-017-9906-7"},{"key":"477_CR11","unstructured":"Raz, O.E.: Distinct distances for points lying on curves in $${\\mathbb{R}}^{d}$$\u2014the bipartite case. Manuscript"},{"key":"477_CR12","unstructured":"Walter, D., Husty, M.L.: On a nine-bar linkage, its possible configurations and conditions for paradoxical mobility. In: 12th World Congress on Mechanism and Machine Science (Besan\u00e7on 2007). International Federation for the Promotion of Mechanism and Machine Science (2007)"}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-022-00477-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00454-022-00477-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-022-00477-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,11]],"date-time":"2023-05-11T05:29:55Z","timestamp":1683782995000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00454-022-00477-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,3,1]]},"references-count":12,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2023,6]]}},"alternative-id":["477"],"URL":"https:\/\/doi.org\/10.1007\/s00454-022-00477-7","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2023,3,1]]},"assertion":[{"value":"27 September 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 May 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 June 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 March 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}