메뉴 건너뛰기




Volumn 16, Issue 5-6, 2006, Pages 415-429

On the rank function of the 3-dimensional rigidity matroid

Author keywords

Rank function; Rigid graphs; Rigidity matroid

Indexed keywords


EID: 33750728920     PISSN: 02181959     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0218195906002117     Document Type: Conference Paper
Times cited : (18)

References (30)
  • 3
    • 0005660653 scopus 로고    scopus 로고
    • Decomposition plans for geometric constraint systems, Part I: Performance measures for CAD
    • C. M. Hoffman, A. Lomonosov and M. Sitharam, Decomposition plans for geometric constraint systems, Part I: Performance measures for CAD, J. Symb. Comput. 31 (2001) 367-408.
    • (2001) J. Symb. Comput. , vol.31 , pp. 367-408
    • Hoffman, C.M.1    Lomonosov, A.2    Sitharam, M.3
  • 6
    • 0002856165 scopus 로고
    • Some matroids from discrete applied geometry
    • Matroid theory, eds. J. E. Bonin, J. G. Oxley and B. Servatius, Seattle, WA, (Amer. Math. Soc., Providence, RI)
    • W. Whiteley, Some matroids from discrete applied geometry, in Matroid theory, eds. J. E. Bonin, J. G. Oxley and B. Servatius, Seattle, WA, 1995, Contemp. Math. 197 (Amer. Math. Soc., Providence, RI, 1996), pp. 171-311.
    • (1995) Contemp. Math. , vol.197 , pp. 171-311
    • Whiteley, W.1
  • 7
    • 8744294682 scopus 로고    scopus 로고
    • Rigidity and scene analysis
    • eds. J. E. Goodman and J. O'Rourke, 2nd edition (CRC Press)
    • W. Whiteley, Rigidity and scene analysis, Handbook of Discrete and Computational Geometry, eds. J. E. Goodman and J. O'Rourke, 2nd edition (CRC Press, 2004), pp. 1327-1354.
    • (2004) Handbook of Discrete and Computational Geometry , pp. 1327-1354
    • Whiteley, W.1
  • 9
    • 0014856102 scopus 로고
    • On graphs and rigidity of plane skeletal structures
    • G. Laman, On graphs and rigidity of plane skeletal structures, J. Engin. Math. 4 (1970) 331-340.
    • (1970) J. Engin. Math. , vol.4 , pp. 331-340
    • Laman, G.1
  • 11
    • 84976779342 scopus 로고
    • Fast probabilistic algorithms for verification of polynomial identities
    • J. T. Schwartz, Fast probabilistic algorithms for verification of polynomial identities, J. ACM 27 (1980) 701-717.
    • (1980) J. ACM , vol.27 , pp. 701-717
    • Schwartz, J.T.1
  • 12
    • 23244468113 scopus 로고    scopus 로고
    • The d-dimensional rigidity matroid of sparse graphs
    • B. Jackson and T. Jordan, The d-dimensional rigidity matroid of sparse graphs, J. Combin. Th., Ser. B 95 (2005) 118-133.
    • (2005) J. Combin. Th., Ser. B , vol.95 , pp. 118-133
    • Jackson, B.1    Jordan, T.2
  • 14
    • 33646515344 scopus 로고    scopus 로고
    • Algorithms for the d-dimensional rigidity matroid of sparse graphs
    • Springer LNCS 3742
    • S. Bereg, Algorithms for the d-dimensional rigidity matroid of sparse graphs, Proc. Japan Conf. Discrete and Computational Geometry (JCDCG'04), Springer LNCS 3742, 2005, pp. 29-36.
    • (2005) Proc. Japan Conf. Discrete and Computational Geometry (JCDCG'04) , pp. 29-36
    • Bereg, S.1
  • 15
    • 0001114105 scopus 로고
    • Almost all simply connected surfaces are rigid
    • Lecture Notes in Mathematics 438 (Springer, New-York)
    • H. Gluck, Almost all simply connected surfaces are rigid, Geometric Topology, Lecture Notes in Mathematics 438 (Springer, New-York, 1975), pp. 225-239.
    • (1975) Geometric Topology , pp. 225-239
    • Gluck, H.1
  • 16
    • 0032493601 scopus 로고    scopus 로고
    • Generic rigidity in three-dimensional bond-bending networks
    • D. Jacobs, Generic rigidity in three-dimensional bond-bending networks, J. Phys. A 31 (1998) 6653-6668.
    • (1998) J. Phys. A , vol.31 , pp. 6653-6668
    • Jacobs, D.1
  • 17
    • 0346043026 scopus 로고    scopus 로고
    • Generic rigidity of molecular graphs via ear decomposition
    • D. Franzblau, Generic rigidity of molecular graphs via ear decomposition, Discr. Appl. Math. 101 (2000) 131-155.
    • (2000) Discr. Appl. Math. , vol.101 , pp. 131-155
    • Franzblau, D.1
  • 20
    • 0001963291 scopus 로고
    • Generating isostatic frameworks
    • T. S. Tay and W. Whiteley, Generating isostatic frameworks, Struct. Topol. 11 (1985) 21-69.
    • (1985) Struct. Topol. , vol.11 , pp. 21-69
    • Tay, T.S.1    Whiteley, W.2
  • 21
    • 0002087594 scopus 로고
    • Vertex splitting in isostatic frameworks
    • W. Whiteley, Vertex splitting in isostatic frameworks, Struct. Topol. 16 (1990) 23-30.
    • (1990) Struct. Topol. , vol.16 , pp. 23-30
    • Whiteley, W.1
  • 22
    • 0038024955 scopus 로고
    • Matroids and rigid structures, Matroid applications
    • Cambridge Univ. Press, Cambridge
    • W. Whiteley, Matroids and rigid structures, Matroid applications, 1-53, Encyclopedia Math. Appl., 40 (Cambridge Univ. Press, Cambridge, 1992).
    • (1992) Encyclopedia Math. Appl. , vol.40 , pp. 1-53
    • Whiteley, W.1
  • 24
    • 0002883806 scopus 로고
    • Recent advances in the generic rigidity of structures
    • T.-S. Tay and W. Whiteley, Recent advances in the generic rigidity of structures, Struct. Topol. 9 (1984) 31-38.
    • (1984) Struct. Topol. , vol.9 , pp. 31-38
    • Tay, T.-S.1    Whiteley, W.2
  • 25
    • 26444434214 scopus 로고    scopus 로고
    • The dress conjectures on rank in the 3-dimensional rigidity matroid
    • B. Jackson and T. Jordan, The dress conjectures on rank in the 3-dimensional rigidity matroid, Adv. Appl. Math. 35 (2005) 355-367.
    • (2005) Adv. Appl. Math. , vol.35 , pp. 355-367
    • Jackson, B.1    Jordan, T.2
  • 26
    • 26444517412 scopus 로고
    • Problem 4.2
    • Matroid Theory, eds. J. E. Bonin, J. G. Oxley and B. Servatius, Seattle, WA, (Amer. Math. Soc., Providence, RI)
    • H. Crapo, A. Dress and T.-S. Tay, Problem 4.2, in Matroid Theory, eds. J. E. Bonin, J. G. Oxley and B. Servatius, Seattle, WA, 1995, Contemp. Math., 197 (Amer. Math. Soc., Providence, RI, 1996), p. 414.
    • (1995) Contemp. Math. , vol.197 , pp. 414
    • Crapo, H.1    Dress, A.2    Tay, T.-S.3
  • 27
    • 0033164017 scopus 로고    scopus 로고
    • On the generic rigidity of bar frameworks
    • T.-S. Tay, On the generic rigidity of bar frameworks, Adv. Appl. Math. 23 (1999) 14-28.
    • (1999) Adv. Appl. Math. , vol.23 , pp. 14-28
    • Tay, T.-S.1
  • 28
    • 0009278430 scopus 로고
    • On generically dependent bar frameworks in space
    • T.-S. Tay, On generically dependent bar frameworks in space, Struct. Topol. 20 (1993) 27-48.
    • (1993) Struct. Topol. , vol.20 , pp. 27-48
    • Tay, T.-S.1
  • 29
    • 0037520760 scopus 로고    scopus 로고
    • Rigidity of molecular structures: Geometric and generic analysis
    • eds. M. Thorpe and P. Duxbury (Kluwer)
    • W. Whiteley, Rigidity of molecular structures: geometric and generic analysis, Rigidity Theory and Applications, eds. M. Thorpe and P. Duxbury (Kluwer 1999), pp. 21-46.
    • (1999) Rigidity Theory and Applications , pp. 21-46
    • Whiteley, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.