메뉴 건너뛰기




Volumn 35, Issue 3, 2006, Pages 493-512

Globally linked pairs of vertices in equivalent realizations of graphs

Author keywords

[No Author keywords available]

Indexed keywords


EID: 32344449818     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-005-1225-8     Document Type: Article
Times cited : (50)

References (20)
  • 1
    • 0038522854 scopus 로고    scopus 로고
    • A proof of Connelly's conjecture on 3-connected circuits of the rigidity matroid
    • A.R. Berg and T. Jordán, A proof of Connelly's conjecture on 3-connected circuits of the rigidity matroid, J. Combin. Theory Sci. B. 88 (2003), 77-97.
    • (2003) J. Combin. Theory Sci. B. , vol.88 , pp. 77-97
    • Berg, A.R.1    Jordán, T.2
  • 2
    • 0142152746 scopus 로고    scopus 로고
    • Algorithms for graph rigidity and scene analysis
    • (G. Di Battista and U. Zwick, eds.), Lecture Notes in Computer Science, Springer, Berlin
    • A.R. Berg and T. Jordan, Algorithms for graph rigidity and scene analysis, Proc. 11th Annual European Symposium on Algorithms (ESA) 2003 (G. Di Battista and U. Zwick, eds.), pp. 78-89, Lecture Notes in Computer Science, Vol. 2832, Springer, Berlin, 2003.
    • (2003) Proc. 11th Annual European Symposium on Algorithms (ESA) 2003 , vol.2832 , pp. 78-89
    • Berg, A.R.1    Jordan, T.2
  • 3
    • 1642350131 scopus 로고    scopus 로고
    • The number of embeddings of minimally rigid graphs
    • C. Borcea and I. Streinu, The number of embeddings of minimally rigid graphs, Discrete Comput. Geom. 31 (2004), 287-303.
    • (2004) Discrete Comput. Geom. , vol.31 , pp. 287-303
    • Borcea, C.1    Streinu, I.2
  • 4
    • 0002860073 scopus 로고
    • Rigidity and energy
    • R. Connelly, Rigidity and energy, Invent. Math. 66(1) (1982), 11-33.
    • (1982) Invent. Math. , vol.66 , Issue.1 , pp. 11-33
    • Connelly, R.1
  • 5
    • 4243199684 scopus 로고
    • On generic global rigidity
    • DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, Providence, RI
    • R. Connelly, On generic global rigidity, in Applied Geometry and Discrete Mathematics, pp. 147-155, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 4, American Mathematical Society, Providence, RI, 1991.
    • (1991) Applied Geometry and Discrete Mathematics , vol.4 , pp. 147-155
    • Connelly, R.1
  • 6
    • 17444406687 scopus 로고    scopus 로고
    • Generic global rigidity
    • R. Connelly, Generic global rigidity, Discrete Comput. Geom. 33 (2005), 549-563.
    • (2005) Discrete Comput. Geom. , vol.33 , pp. 549-563
    • Connelly, R.1
  • 8
    • 0001114105 scopus 로고
    • Almost all simply connected closed surfaces are rigid
    • Lecture Notes in Mathematics, Springer, Berlin
    • H. Gluck, Almost all simply connected closed surfaces are rigid, Geometric Topology (Proc. Conf., Park City, Utah, 1974), pp. 225-239, Lecture Notes in Mathematics, Vol. 438, Springer, Berlin, 1975.
    • (1975) Geometric Topology (Proc. Conf., Park City, Utah, 1974) , vol.438 , pp. 225-239
    • Gluck, H.1
  • 10
    • 0004018627 scopus 로고
    • Graduate Studies in Mathematics, American Mathematical Society, Providence, RI
    • J. Graver, B. Servatius, and H. Servatius, Combinatorial Rigidity, Graduate Studies in Mathematics, Vol. 2, American Mathematical Society, Providence, RI, 1993.
    • (1993) Combinatorial Rigidity , vol.2
    • Graver, J.1    Servatius, B.2    Servatius, H.3
  • 11
    • 0026821495 scopus 로고
    • Conditions for unique graph realizations
    • B. Hendrickson, Conditions for unique graph realizations, SIAM J. Comput. 21(1) (1992), 65-84.
    • (1992) SIAM J. Comput. , vol.21 , Issue.1 , pp. 65-84
    • Hendrickson, B.1
  • 13
    • 15444370051 scopus 로고    scopus 로고
    • Connected rigidity matroids and unique realizations of graphs
    • B. Jackson and T. Jordan, Connected rigidity matroids and unique realizations of graphs, J. Combin. Theoiy Ser. B 94 (2005), 1-29.
    • (2005) J. Combin. Theoiy Ser. B , vol.94 , pp. 1-29
    • Jackson, B.1    Jordan, T.2
  • 14
    • 0014856102 scopus 로고
    • On graphs and rigidity of plane skeletal structures
    • G. Laman, On graphs and rigidity of plane skeletal structures, J. Engrg. Math. 4 (1970), 331-340.
    • (1970) J. Engrg. Math. , vol.4 , pp. 331-340
    • Laman, G.1
  • 16
    • 15444367043 scopus 로고
    • A linear-time algorithm for finding a sparse k-connected spanning subgraph of a k-connected graph
    • H. Nagamochi and T. Ibaraki, A linear-time algorithm for finding a sparse k-connected spanning subgraph of a k-connected graph, Algorithmic 1 (1992), 583-596.
    • (1992) Algorithmic , vol.1 , pp. 583-596
    • Nagamochi, H.1    Ibaraki, T.2
  • 17
    • 0004061262 scopus 로고
    • Oxford University Press, New York
    • J.G. Oxley, Matroid Theory, Oxford University Press, New York, 1992.
    • (1992) Matroid Theory
    • Oxley, J.G.1
  • 18
    • 15444368801 scopus 로고
    • Embeddability of weighted graphs in k-space is strongly NP-hard
    • Computer Science Department, Carnegie-Mellon University, Pittsburgh, PA
    • J.B. Saxe, Embeddability of weighted graphs in k-space is strongly NP-hard, Technical Report, Computer Science Department, Carnegie-Mellon University, Pittsburgh, PA, 1979.
    • (1979) Technical Report
    • Saxe, J.B.1
  • 19
    • 0003828291 scopus 로고    scopus 로고
    • Chapman and Hall/CRC Press, London/Boca Raton, FL
    • I. Stewart, Galois Theory, 3rd edn., Chapman and Hall/CRC Press, London/Boca Raton, FL, 2004.
    • (2004) Galois Theory, 3rd Edn.
    • Stewart, I.1
  • 20
    • 0002856165 scopus 로고    scopus 로고
    • Some matroids from discrete applied geometry
    • Contemporary Mathematics, American Mathematical Society, Providence, RI
    • W. Whiteley, Some matroids from discrete applied geometry, in Matroid Theory (Seattle, WA, 1995), pp. 171-311, Contemporary Mathematics, Vol. 197, American Mathematical Society, Providence, RI, 1996.
    • (1996) Matroid Theory (Seattle, WA, 1995) , vol.197 , pp. 171-311
    • Whiteley, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.