Geometric rigidity (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Geometric rigidity" in English language version.

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21doi.org

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19worldcat.org

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8semanticscholar.org

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2ams.org

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1iop.org

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1nih.gov

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1sciencedirect.com

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ams.org

Asimow, L.; Roth, B. (1978). "The rigidity of graphs". Transactions of the American Mathematical Society. 245: 279–289. doi:10.1090/S0002-9947-1978-0511410-9. ISSN 0002-9947.
Roth, B.; Whiteley, W. (1981). "Tensegrity frameworks". Transactions of the American Mathematical Society. 265 (2): 419–446. doi:10.1090/S0002-9947-1981-0610958-6. ISSN 0002-9947.

arxiv.org

Holmes‐Cerfon, Miranda; Theran, Louis; Gortler, Steven J. (2020). "Almost-Rigidity of Frameworks". Communications on Pure and Applied Mathematics. 74 (10): 2185–2247. arXiv:1908.03802. doi:10.1002/cpa.21971. ISSN 1097-0312. S2CID 199543753.
Alfakih, A.Y.; Nguyen, Viet-Hang (2013-11-15). "On affine motions and universal rigidity of tensegrity frameworks". Linear Algebra and Its Applications. 439 (10): 3134–3147. arXiv:1305.5955. doi:10.1016/j.laa.2013.08.016. ISSN 0024-3795. S2CID 119709339.

doi.org

Asimow, L.; Roth, B. (1978). "The rigidity of graphs". Transactions of the American Mathematical Society. 245: 279–289. doi:10.1090/S0002-9947-1978-0511410-9. ISSN 0002-9947.
Asimow, L; Roth, B (1979-03-01). "The rigidity of graphs, II". Journal of Mathematical Analysis and Applications. 68 (1): 171–190. doi:10.1016/0022-247X(79)90108-2. ISSN 0022-247X.
Holmes‐Cerfon, Miranda; Theran, Louis; Gortler, Steven J. (2020). "Almost-Rigidity of Frameworks". Communications on Pure and Applied Mathematics. 74 (10): 2185–2247. arXiv:1908.03802. doi:10.1002/cpa.21971. ISSN 1097-0312. S2CID 199543753.
Euler, Leonhard; Fuss, Nikola Ivanovich; Fuss, Paul Heinrich von (1862). Opera postuma mathematica et physica anno 1844 detecta quae Academiae scientiarum petropolitanae obtulerunt ejusque auspicus ediderunt auctoris pronepotes Paulus Henricus Fuss et Nicolaus Fuss. Petropoli: Eggers et Socius. doi:10.5962/bhl.title.24416.
Connelly, Robert (1977-12-01). "A counterexample to the rigidity conjecture for polyhedra". Publications Mathématiques de l'Institut des Hautes Études Scientifiques. 47 (1): 333–338. doi:10.1007/BF02684342. ISSN 1618-1913. S2CID 122968997.
Stoker, J. J. (1968). "Geometrical problems concerning polyhedra in the large". Communications on Pure and Applied Mathematics. 21 (2): 119–168. doi:10.1002/cpa.3160210203. ISSN 1097-0312.
Karcher, Hermann (1968). "Remarks on polyhedra with given dihedral angles". Communications on Pure and Applied Mathematics. 21 (2): 169–174. doi:10.1002/cpa.3160210204. ISSN 1097-0312.
Gluck, Herman (1975). "Almost all simply connected closed surfaces are rigid". In Glaser, Leslie Curtis; Rushing, Thomas Benjamin (eds.). Geometric Topology. Lecture Notes in Mathematics. Vol. 438. Berlin, Heidelberg: Springer. pp. 225–239. doi:10.1007/BFb0066118. ISBN 978-3-540-37412-1.
Connelly, Robert (1978-09-01). "A flexible sphere". The Mathematical Intelligencer. 1 (3): 130–131. doi:10.1007/BF03023258. ISSN 0343-6993. S2CID 123071778.
Sabitov, I Kh (1995-04-30). "On the problem of invariance of the volume of a flexible polyhedron". Russian Mathematical Surveys. 50 (2): 451–452. Bibcode:1995RuMaS..50..451S. doi:10.1070/RM1995v050n02ABEH002095. ISSN 0036-0279. S2CID 250898116.
Jackson, Bill; Jordán, Tibor; Király, Csaba (2013-05-01). "Strongly rigid tensegrity graphs on the line". Discrete Applied Mathematics. 161 (7–8): 1147–1149. doi:10.1016/j.dam.2012.12.009. ISSN 0166-218X.
Jordán, Tibor; Recski, András; Szabadka, Zoltán (2009-11-01). "Rigid tensegrity labelings of graphs". European Journal of Combinatorics. 30 (8): 1887–1895. doi:10.1016/j.ejc.2008.12.014. ISSN 0195-6698.
Connelly, Robert; Whiteley, Walter (1996). "Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks". SIAM Journal on Discrete Mathematics. 9 (3): 453–491. doi:10.1137/S0895480192229236. ISSN 0895-4801.
Connelly, Robert (1982-02-01). "Rigidity and energy". Inventiones Mathematicae. 66 (1): 11–33. Bibcode:1982InMat..66...11C. doi:10.1007/BF01404753. ISSN 1432-1297. S2CID 2887038.
Roth, B.; Whiteley, W. (1981). "Tensegrity frameworks". Transactions of the American Mathematical Society. 265 (2): 419–446. doi:10.1090/S0002-9947-1981-0610958-6. ISSN 0002-9947.
Connelly, Robert (2008-11-01). "Rigidity of packings". European Journal of Combinatorics. 29 (8): 1862–1871. doi:10.1016/j.ejc.2008.01.009. ISSN 0195-6698.
Connelly, Robert; Dickinson, William (2014-02-13). "Periodic planar disc packings". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 372 (2008): 20120039. doi:10.1098/rsta.2012.0039. PMID 24379429. S2CID 7704606.
Alfakih, A.Y.; Nguyen, Viet-Hang (2013-11-15). "On affine motions and universal rigidity of tensegrity frameworks". Linear Algebra and Its Applications. 439 (10): 3134–3147. arXiv:1305.5955. doi:10.1016/j.laa.2013.08.016. ISSN 0024-3795. S2CID 119709339.
Connelly, Robert (2005-04-01). "Generic Global Rigidity". Discrete & Computational Geometry. 33 (4): 549–563. doi:10.1007/s00454-004-1124-4. ISSN 1432-0444. S2CID 1009906.
Connelly, Robert (2013), Senechal, Marjorie (ed.), "Tensegrities and Global Rigidity", Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination, New York, NY: Springer, pp. 267–278, doi:10.1007/978-0-387-92714-5_21, ISBN 978-0-387-92714-5, retrieved 2021-01-24

dx.doi.org

Euler, Leonhard; Fuss, Nikola Ivanovich; Fuss, Paul Heinrich von (1862). Opera postuma mathematica et physica anno 1844 detecta quae Academiae scientiarum petropolitanae obtulerunt ejusque auspicus ediderunt auctoris pronepotes Paulus Henricus Fuss et Nicolaus Fuss. Petropoli: Eggers et Socius. doi:10.5962/bhl.title.24416.

harvard.edu

ui.adsabs.harvard.edu

Sabitov, I Kh (1995-04-30). "On the problem of invariance of the volume of a flexible polyhedron". Russian Mathematical Surveys. 50 (2): 451–452. Bibcode:1995RuMaS..50..451S. doi:10.1070/RM1995v050n02ABEH002095. ISSN 0036-0279. S2CID 250898116.
Connelly, Robert (1982-02-01). "Rigidity and energy". Inventiones Mathematicae. 66 (1): 11–33. Bibcode:1982InMat..66...11C. doi:10.1007/BF01404753. ISSN 1432-1297. S2CID 2887038.

iop.org

stacks.iop.org

Sabitov, I Kh (1995-04-30). "On the problem of invariance of the volume of a flexible polyhedron". Russian Mathematical Surveys. 50 (2): 451–452. Bibcode:1995RuMaS..50..451S. doi:10.1070/RM1995v050n02ABEH002095. ISSN 0036-0279. S2CID 250898116.

nih.gov

pubmed.ncbi.nlm.nih.gov

Connelly, Robert; Dickinson, William (2014-02-13). "Periodic planar disc packings". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 372 (2008): 20120039. doi:10.1098/rsta.2012.0039. PMID 24379429. S2CID 7704606.

sciencedirect.com

Alfakih, A.Y.; Nguyen, Viet-Hang (2013-11-15). "On affine motions and universal rigidity of tensegrity frameworks". Linear Algebra and Its Applications. 439 (10): 3134–3147. arXiv:1305.5955. doi:10.1016/j.laa.2013.08.016. ISSN 0024-3795. S2CID 119709339.

semanticscholar.org

api.semanticscholar.org

Holmes‐Cerfon, Miranda; Theran, Louis; Gortler, Steven J. (2020). "Almost-Rigidity of Frameworks". Communications on Pure and Applied Mathematics. 74 (10): 2185–2247. arXiv:1908.03802. doi:10.1002/cpa.21971. ISSN 1097-0312. S2CID 199543753.
Connelly, Robert (1977-12-01). "A counterexample to the rigidity conjecture for polyhedra". Publications Mathématiques de l'Institut des Hautes Études Scientifiques. 47 (1): 333–338. doi:10.1007/BF02684342. ISSN 1618-1913. S2CID 122968997.
Connelly, Robert (1978-09-01). "A flexible sphere". The Mathematical Intelligencer. 1 (3): 130–131. doi:10.1007/BF03023258. ISSN 0343-6993. S2CID 123071778.
Sabitov, I Kh (1995-04-30). "On the problem of invariance of the volume of a flexible polyhedron". Russian Mathematical Surveys. 50 (2): 451–452. Bibcode:1995RuMaS..50..451S. doi:10.1070/RM1995v050n02ABEH002095. ISSN 0036-0279. S2CID 250898116.
Connelly, Robert (1982-02-01). "Rigidity and energy". Inventiones Mathematicae. 66 (1): 11–33. Bibcode:1982InMat..66...11C. doi:10.1007/BF01404753. ISSN 1432-1297. S2CID 2887038.
Connelly, Robert; Dickinson, William (2014-02-13). "Periodic planar disc packings". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 372 (2008): 20120039. doi:10.1098/rsta.2012.0039. PMID 24379429. S2CID 7704606.
Alfakih, A.Y.; Nguyen, Viet-Hang (2013-11-15). "On affine motions and universal rigidity of tensegrity frameworks". Linear Algebra and Its Applications. 439 (10): 3134–3147. arXiv:1305.5955. doi:10.1016/j.laa.2013.08.016. ISSN 0024-3795. S2CID 119709339.
Connelly, Robert (2005-04-01). "Generic Global Rigidity". Discrete & Computational Geometry. 33 (4): 549–563. doi:10.1007/s00454-004-1124-4. ISSN 1432-0444. S2CID 1009906.

siam.org

epubs.siam.org

Connelly, Robert; Whiteley, Walter (1996). "Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks". SIAM Journal on Discrete Mathematics. 9 (3): 453–491. doi:10.1137/S0895480192229236. ISSN 0895-4801.

springer.com

link.springer.com

Gluck, Herman (1975). "Almost all simply connected closed surfaces are rigid". In Glaser, Leslie Curtis; Rushing, Thomas Benjamin (eds.). Geometric Topology. Lecture Notes in Mathematics. Vol. 438. Berlin, Heidelberg: Springer. pp. 225–239. doi:10.1007/BFb0066118. ISBN 978-3-540-37412-1.

wiley.com

onlinelibrary.wiley.com

Holmes‐Cerfon, Miranda; Theran, Louis; Gortler, Steven J. (2020). "Almost-Rigidity of Frameworks". Communications on Pure and Applied Mathematics. 74 (10): 2185–2247. arXiv:1908.03802. doi:10.1002/cpa.21971. ISSN 1097-0312. S2CID 199543753.
Stoker, J. J. (1968). "Geometrical problems concerning polyhedra in the large". Communications on Pure and Applied Mathematics. 21 (2): 119–168. doi:10.1002/cpa.3160210203. ISSN 1097-0312.
Karcher, Hermann (1968). "Remarks on polyhedra with given dihedral angles". Communications on Pure and Applied Mathematics. 21 (2): 169–174. doi:10.1002/cpa.3160210204. ISSN 1097-0312.

worldcat.org

Sitharam, Meera (20 July 2018). Handbook of geometric constraint systems principles. St. John, Audrey,, Sidman, Jessica. Boca Raton. ISBN 978-1-4987-3892-7. OCLC 1046084888.{{cite book}}: CS1 maint: location missing publisher (link)
Asimow, L.; Roth, B. (1978). "The rigidity of graphs". Transactions of the American Mathematical Society. 245: 279–289. doi:10.1090/S0002-9947-1978-0511410-9. ISSN 0002-9947.
Asimow, L; Roth, B (1979-03-01). "The rigidity of graphs, II". Journal of Mathematical Analysis and Applications. 68 (1): 171–190. doi:10.1016/0022-247X(79)90108-2. ISSN 0022-247X.
Holmes‐Cerfon, Miranda; Theran, Louis; Gortler, Steven J. (2020). "Almost-Rigidity of Frameworks". Communications on Pure and Applied Mathematics. 74 (10): 2185–2247. arXiv:1908.03802. doi:10.1002/cpa.21971. ISSN 1097-0312. S2CID 199543753.
Connelly, Robert (1977-12-01). "A counterexample to the rigidity conjecture for polyhedra". Publications Mathématiques de l'Institut des Hautes Études Scientifiques. 47 (1): 333–338. doi:10.1007/BF02684342. ISSN 1618-1913. S2CID 122968997.
Steinitz, Ernst 1871-1928 (7 March 2013). Vorlesungen über die Theorie der Polyeder unter Einschluß der Elemente der Topologie. Rademacher, Hans 1892-1969. Berlin, Heidelberg. ISBN 978-3-642-65609-5. OCLC 863787946.{{cite book}}: CS1 maint: location missing publisher (link) CS1 maint: numeric names: authors list (link)
Aleksandrov, A. D. (Aleksandr Danilovich), 1912-1999. (2005). Convex polyhedra. Berlin: Springer. ISBN 3-540-23158-7. OCLC 62750601.{{cite book}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)
Stoker, J. J. (1968). "Geometrical problems concerning polyhedra in the large". Communications on Pure and Applied Mathematics. 21 (2): 119–168. doi:10.1002/cpa.3160210203. ISSN 1097-0312.
Karcher, Hermann (1968). "Remarks on polyhedra with given dihedral angles". Communications on Pure and Applied Mathematics. 21 (2): 169–174. doi:10.1002/cpa.3160210204. ISSN 1097-0312.
Connelly, Robert (1978-09-01). "A flexible sphere". The Mathematical Intelligencer. 1 (3): 130–131. doi:10.1007/BF03023258. ISSN 0343-6993. S2CID 123071778.
Sabitov, I Kh (1995-04-30). "On the problem of invariance of the volume of a flexible polyhedron". Russian Mathematical Surveys. 50 (2): 451–452. Bibcode:1995RuMaS..50..451S. doi:10.1070/RM1995v050n02ABEH002095. ISSN 0036-0279. S2CID 250898116.
Jackson, Bill; Jordán, Tibor; Király, Csaba (2013-05-01). "Strongly rigid tensegrity graphs on the line". Discrete Applied Mathematics. 161 (7–8): 1147–1149. doi:10.1016/j.dam.2012.12.009. ISSN 0166-218X.
Jordán, Tibor; Recski, András; Szabadka, Zoltán (2009-11-01). "Rigid tensegrity labelings of graphs". European Journal of Combinatorics. 30 (8): 1887–1895. doi:10.1016/j.ejc.2008.12.014. ISSN 0195-6698.
Connelly, Robert; Whiteley, Walter (1996). "Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks". SIAM Journal on Discrete Mathematics. 9 (3): 453–491. doi:10.1137/S0895480192229236. ISSN 0895-4801.
Connelly, Robert (1982-02-01). "Rigidity and energy". Inventiones Mathematicae. 66 (1): 11–33. Bibcode:1982InMat..66...11C. doi:10.1007/BF01404753. ISSN 1432-1297. S2CID 2887038.
Roth, B.; Whiteley, W. (1981). "Tensegrity frameworks". Transactions of the American Mathematical Society. 265 (2): 419–446. doi:10.1090/S0002-9947-1981-0610958-6. ISSN 0002-9947.
Connelly, Robert (2008-11-01). "Rigidity of packings". European Journal of Combinatorics. 29 (8): 1862–1871. doi:10.1016/j.ejc.2008.01.009. ISSN 0195-6698.
Alfakih, A.Y.; Nguyen, Viet-Hang (2013-11-15). "On affine motions and universal rigidity of tensegrity frameworks". Linear Algebra and Its Applications. 439 (10): 3134–3147. arXiv:1305.5955. doi:10.1016/j.laa.2013.08.016. ISSN 0024-3795. S2CID 119709339.
Connelly, Robert (2005-04-01). "Generic Global Rigidity". Discrete & Computational Geometry. 33 (4): 549–563. doi:10.1007/s00454-004-1124-4. ISSN 1432-0444. S2CID 1009906.