메뉴 건너뛰기




Volumn 155, Issue 10, 2007, Pages 1244-1253

On dimensional rigidity of bar-and-joint frameworks

Author keywords

Bar and joint frameworks; Euclidean distance matrices; Gale transform; Rigid frameworks; Semidefinite programming

Indexed keywords

CONFORMAL MAPPING; GRAPH THEORY; MATHEMATICAL PROGRAMMING; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 34247103138     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2006.11.011     Document Type: Article
Times cited : (28)

References (17)
  • 1
    • 0034395202 scopus 로고    scopus 로고
    • Graph rigidity via Euclidean distance matrices
    • Alfakih A.Y. Graph rigidity via Euclidean distance matrices. Linear Algebra Appl. 310 (2000) 149-165
    • (2000) Linear Algebra Appl. , vol.310 , pp. 149-165
    • Alfakih, A.Y.1
  • 2
    • 0035606028 scopus 로고    scopus 로고
    • On rigidity and realizability of weighted graphs
    • Alfakih A.Y. On rigidity and realizability of weighted graphs. Linear Algebra Appl. 325 (2001) 57-70
    • (2001) Linear Algebra Appl. , vol.325 , pp. 57-70
    • Alfakih, A.Y.1
  • 3
    • 0002740666 scopus 로고    scopus 로고
    • Solving Euclidean distance matrix completion problems via semidefinite programming
    • Alfakih A.Y., Khandani A., and Wolkowicz H. Solving Euclidean distance matrix completion problems via semidefinite programming. Comput. Optim. Appl. 12 (1999) 13-30
    • (1999) Comput. Optim. Appl. , vol.12 , pp. 13-30
    • Alfakih, A.Y.1    Khandani, A.2    Wolkowicz, H.3
  • 5
    • 34247151385 scopus 로고    scopus 로고
    • R. Connelly, Rigidity, in: P.M. Gruber, J.M. Wills (Eds.), Handbook of Convex Geometry, 1993, pp. 223-271.
  • 6
    • 34247124391 scopus 로고    scopus 로고
    • R. Connelly, Generic global rigidity, Technical Report, Cornell University, 2003.
  • 7
    • 38249028837 scopus 로고    scopus 로고
    • On certain linear mappings between inner-product and squared distance matrices
    • Critchley F. On certain linear mappings between inner-product and squared distance matrices. Linear Algebra Appl. 105 (1998) 91-107
    • (1998) Linear Algebra Appl. , vol.105 , pp. 91-107
    • Critchley, F.1
  • 8
    • 0002670267 scopus 로고
    • Neighboring vertices on a convex polyhedron
    • Princeton University Press, Princeton, NJ
    • Gale D. Neighboring vertices on a convex polyhedron. Linear inequalities and related system (1956), Princeton University Press, Princeton, NJ 255-263
    • (1956) Linear inequalities and related system , pp. 255-263
    • Gale, D.1
  • 9
    • 0038087036 scopus 로고
    • Properties of Euclidean and non-Euclidean distance matrices
    • Gower J.C. Properties of Euclidean and non-Euclidean distance matrices. Linear Algebra Appl. 67 (1985) 81-97
    • (1985) Linear Algebra Appl. , vol.67 , pp. 81-97
    • Gower, J.C.1
  • 11
    • 0014856102 scopus 로고
    • On graphs and rigidity of plane skeletal structures
    • Laman G. On graphs and rigidity of plane skeletal structures. J. Eng. Math. 4 (1970) 331-340
    • (1970) J. Eng. Math. , vol.4 , pp. 331-340
    • Laman, G.1
  • 12
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar R.T. Convex analysis (1970), Princeton University Press, Princeton, NJ
    • (1970) Convex analysis
    • Rockafellar, R.T.1
  • 13
    • 0003167703 scopus 로고
    • Rigid and flexible frameworks
    • Roth B. Rigid and flexible frameworks. Amer. Math. Monthly 88 (1981) 6-21
    • (1981) Amer. Math. Monthly , vol.88 , pp. 6-21
    • Roth, B.1
  • 14
    • 0001203499 scopus 로고
    • Remarks to Maurice Fréchet's article: Sur la définition axiomatique d'une classe d'espaces vectoriels distanciés applicables vectoriellement sur l'espace de Hilbert
    • Schoenberg I.J. Remarks to Maurice Fréchet's article: Sur la définition axiomatique d'une classe d'espaces vectoriels distanciés applicables vectoriellement sur l'espace de Hilbert. Ann. Math. 36 (1935) 724-732
    • (1935) Ann. Math. , vol.36 , pp. 724-732
    • Schoenberg, I.J.1
  • 15
    • 34247097713 scopus 로고    scopus 로고
    • J.F. Sturm, Let SeDuMi seduce you, 〈http://fewcal.kub.nl/sturm/software/sedumi.html〉, October 2001.
  • 16
    • 34247092237 scopus 로고    scopus 로고
    • W. Whiteley, Matroids and rigid structures, in: N. White (Ed.), Matroid applications, Encyclopedia of mathematics and its applications, vol. 40, 1992, pp. 1-53.
  • 17
    • 34247106950 scopus 로고    scopus 로고
    • H. Wolkowicz, R. Saigal, L. Vandenberghe, (Eds.), Handbook of Semidefinite Programming. Theory, Algorithms and Applications, Kluwer Academic Publishers, Boston, MA, 2000.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.