{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:39:04Z","timestamp":1787323144705,"version":"build-2736575974"},"reference-count":10,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100002241","name":"Japan Science and Technology Agency","doi-asserted-by":"publisher","award":["JPMJER1903"],"award-info":[{"award-number":["JPMJER1903"]}],"id":[{"id":"10.13039\/501100002241","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["JP18K11155"],"award-info":[{"award-number":["JP18K11155"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005777","name":"Stiftung zur F\u00f6rderung der Reinhold-W\u00fcrth-Hochschule der Hochschule Heilbronn","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100005777","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Discrete Math."],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>We consider the problem of characterizing the generic rigidity of bar-joint frameworks in $\\mathbb{R}^d$ in which each vertex is constrained to lie in a given affine subspace. The special case when $d=2$ was previously solved by Streinu and Theran [ Discrete Comput. Geom., 44 (2020), pp. 812--837] and the case when each vertex is constrained to lie in an affine subspace of dimension $t$, and $d\\geq t(t-1)$ was solved by Cruickshank et al. [ Int. Math. Res. Not. IMRN, 12 (2020), pp. 3824--3840]. We extend the latter result by showing that the given characterization holds whenever $d\\geq 2t$.<\/jats:p>","DOI":"10.1137\/20m134304x","type":"journal-article","created":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T11:52:04Z","timestamp":1620129124000},"page":"928-933","source":"Crossref","is-referenced-by-count":5,"title":["An Improved Bound for the Rigidity of Linearly Constrained Frameworks"],"prefix":"10.1137","volume":"35","author":[{"given":"Bill","family":"Jackson","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Anthony","family":"Nixon","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shin-ichi","family":"Tanigawa","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2021,5,4]]},"reference":[{"key":"atypb1","unstructured":"T. Abbott,\n                      Generalizations of Kempe's universality theorem\n                      , Master's thesis, Massachusetts Institute of Technology, 2008."},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1978-0511410-9"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1093\/imrn\/rny170"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jctb.2018.07.008"},{"key":"atypb5","doi-asserted-by":"crossref","unstructured":"H. Guler, B. Jackson, and A. Nixon,\n                      Global rigidity of $2$-dimensional linearly constrained frameworks\n                      , Int. Math. Res. Not. IMRN, rnaa157,https:\/\/doi.org\/10.1093\/imrn\/rnaa157, 2020.","DOI":"10.1093\/imrn\/rnaa157"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1137\/110846944"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/110848852"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/130913195"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejc.2009.11.019"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-010-9283-y"}],"container-title":["SIAM Journal on Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/20M134304X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:44:08Z","timestamp":1787319848000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/20M134304X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":10,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1137\/20M134304X"],"URL":"https:\/\/doi.org\/10.1137\/20m134304x","relation":{},"ISSN":["0895-4801","1095-7146"],"issn-type":[{"value":"0895-4801","type":"print"},{"value":"1095-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]}}}