{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T12:49:16Z","timestamp":1759063756340},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,1,27]],"date-time":"2011-01-27T00:00:00Z","timestamp":1296086400000},"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":[[2011,7]]},"DOI":"10.1007\/s00454-011-9325-0","type":"journal-article","created":{"date-parts":[[2011,1,26]],"date-time":"2011-01-26T10:43:59Z","timestamp":1296038639000},"page":"48-71","source":"Crossref","is-referenced-by-count":4,"title":["Bounded Direction\u2013Length Frameworks"],"prefix":"10.1007","volume":"46","author":[{"given":"Bill","family":"Jackson","sequence":"first","affiliation":[]},{"given":"Peter","family":"Keevash","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,1,27]]},"reference":[{"key":"9325_CR1","series-title":"Springer Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1007\/978-3-540-39658-1_10","volume-title":"Proceedings of the 11th Annual European Symposium on Algorithms 2003","author":"A. Berg","year":"2003","unstructured":"Berg, A., Jord\u00e1n, T.: Algorithms for graph rigidity and scene analysis. In: Proceedings of the 11th Annual European Symposium on Algorithms 2003. Springer Lecture Notes in Computer Science, vol.\u00a02832, pp.\u00a078\u201389 (2003)"},{"key":"9325_CR2","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1007\/BF03023258","volume":"1","author":"R. Connelly","year":"1978","unstructured":"Connelly, R.: A\u00a0flexible sphere. Math. Intell. 1, 130\u2013131 (1978)","journal-title":"Math. Intell."},{"key":"9325_CR3","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. Geom. 33, 549\u2013563 (2005)","journal-title":"Discrete Comput. Geom."},{"key":"9325_CR4","unstructured":"Euler, L.: Opera Postuma, vol.\u00a01. Petropoli (1862), pp.\u00a0494\u2013496. Euler Archive index number E819, at http:\/\/math.dartmouth.edu\/~euler\/"},{"key":"9325_CR5","unstructured":"Gortler, S., Healy, A., Thurston, D.: Characterizing generic global rigidity, at arXiv:0710.0926 (2007)"},{"key":"9325_CR6","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":"9325_CR7","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 realizations of graphs. J. Comb. Theory, Ser. B 94, 1\u201329 (2005)","journal-title":"J. Comb. Theory, Ser. B"},{"key":"9325_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jctb.2009.03.004","volume":"100","author":"B. Jackson","year":"2010","unstructured":"Jackson, B., Jord\u00e1n, T.: Globally rigid circuits of the direction\u2013length rigidity matroid. J. Comb. Theory, Ser. B 100, 1\u201323 (2010)","journal-title":"J. Comb. Theory, Ser. B"},{"key":"9325_CR9","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1016\/j.disc.2008.09.034","volume":"310","author":"B. Jackson","year":"2010","unstructured":"Jackson, B., Jord\u00e1n, T.: Brick partitions of graphs. Discrete Math. 310, 270\u2013275 (2010)","journal-title":"Discrete Math."},{"key":"9325_CR10","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1142\/S0218195910003487","volume":"20","author":"B. Jackson","year":"2010","unstructured":"Jackson, B., Jord\u00e1n, T.: Operations preserving global rigidity of generic direction\u2013length frameworks. Int. J. Comput. Geom. Appl. 20, 685\u2013708 (2010)","journal-title":"Int. J. Comput. Geom. Appl."},{"key":"9325_CR11","unstructured":"Jackson, B., Keevash, P.: Necessary conditions for global rigidity of direction\u2013length frameworks. Discrete Comput. Geom. (to appear)"},{"key":"9325_CR12","doi-asserted-by":"crossref","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":"9325_CR13","doi-asserted-by":"crossref","first-page":"1425","DOI":"10.1016\/j.disc.2007.07.104","volume":"308","author":"A. Lee","year":"2008","unstructured":"Lee, A., Streinu, I.: Pebble game algorithms and sparse graphs. Discrete Math. 308, 1425\u20131437 (2008)","journal-title":"Discrete Math."},{"key":"9325_CR14","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1137\/0603009","volume":"3","author":"L. Lov\u00e1sz","year":"1982","unstructured":"Lov\u00e1sz, L., Yemini, Y.: On generic rigidity in the plane. SIAM J. Algebr. Discrete Methods 3, 91\u201398 (1982)","journal-title":"SIAM J. Algebr. Discrete Methods"},{"key":"9325_CR15","volume-title":"Topology from the Differentiable Viewpoint","author":"J.W. Milnor","year":"1965","unstructured":"Milnor, J.W.: Topology from the Differentiable Viewpoint. University Press of Virginia, Charlottesville (1965)"},{"key":"9325_CR16","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1112\/jlms\/s1-36.1.445","volume":"36","author":"C.St.J.A. Nash-Williams","year":"1961","unstructured":"Nash-Williams, C.St.J.A.: Edge-disjoint spanning trees of finite graphs. J. Lond. Math. Soc. 36, 445\u2013450 (1961)","journal-title":"J. Lond. Math. Soc."},{"key":"9325_CR17","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1112\/jlms\/s1-39.1.12","volume":"39","author":"C.St.J.A. Nash-Williams","year":"1964","unstructured":"Nash-Williams, C.St.J.A.: Decomposition of finite graphs into forests. J. Lond. Math. Soc. 39, 12 (1964)","journal-title":"J. Lond. Math. Soc."},{"key":"9325_CR18","volume-title":"Matroid Theory","author":"J. Oxley","year":"1992","unstructured":"Oxley, J.: Matroid Theory. Oxford University Press, London (1992)"},{"key":"9325_CR19","first-page":"480","volume-title":"Proc. 17th Allerton Conference in Communications, Control and Computing","author":"J.B. Saxe","year":"1979","unstructured":"Saxe, J.B.: Embeddability of weighted graphs in k-space is strongly NP-hard. In: Proc. 17th Allerton Conference in Communications, Control and Computing, pp.\u00a0480\u2013489 (1979)"},{"key":"9325_CR20","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1137\/S0895480196307342","volume":"12","author":"B. Servatius","year":"1999","unstructured":"Servatius, B., Whiteley, W.: Constraining plane configurations in CAD: Combinatorics of directions and lengths. SIAM J. Discrete Math. 12, 136\u2013153 (1999)","journal-title":"SIAM J. Discrete Math."},{"key":"9325_CR21","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1112\/jlms\/s1-36.1.221","volume":"36","author":"W.T. Tutte","year":"1961","unstructured":"Tutte, W.T.: On the problem of decomposing a graph into n connected factors. J. Lond. Math. Soc. 36, 221\u2013230 (1961)","journal-title":"J. Lond. Math. Soc."},{"key":"9325_CR22","series-title":"AMS Contemporary Mathematics","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1090\/conm\/197\/02540","volume-title":"Matroid Theory","author":"W. Whiteley","year":"1996","unstructured":"Whiteley, W.: Some matroids from discrete applied geometry. In: Matroid Theory. AMS Contemporary Mathematics, vol.\u00a0197, pp.\u00a0171\u2013313 (1996)"},{"key":"9325_CR23","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1137\/0401025","volume":"1","author":"W. Whiteley","year":"1988","unstructured":"Whiteley, W.: The union of matroids and the rigidity of frameworks. SIAM J. Discrete Math. 1, 237\u2013255 (1988)","journal-title":"SIAM J. Discrete Math."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-011-9325-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-011-9325-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-011-9325-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T19:50:33Z","timestamp":1559073033000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-011-9325-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,27]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,7]]}},"alternative-id":["9325"],"URL":"https:\/\/doi.org\/10.1007\/s00454-011-9325-0","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1,27]]}}}