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Volumn 13, Issue 11, 2007, Pages 1671-1679

Graded sparse graphs and matroids

Author keywords

Computational geometry; Hypergraph; Matroid; Pebble game; Rigidity theory

Indexed keywords


EID: 38749154677     PISSN: 0958695X     EISSN: 09486968     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (18)
  • 1
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    • Algorithms for graph rigidity and scene analysis
    • Proc. 11th ESA, Springer
    • Berg, A. R., Jordán, T.: "Algorithms for graph rigidity and scene analysis"; Proc. 11th ESA, LNCS volume 2832, Springer (2003), 78-89.
    • (2003) LNCS , vol.2832 , pp. 78-89
    • Berg, A.R.1    Jordán, T.2
  • 2
    • 0142199963 scopus 로고    scopus 로고
    • Characterizations of arboricity of graphs
    • Haas, R.: "Characterizations of arboricity of graphs"; Ars Combinatorica 63 (2002), 129-137.
    • (2002) Ars Combinatorica , vol.63 , pp. 129-137
    • Haas, R.1
  • 4
    • 0026821495 scopus 로고
    • Conditions for unique graph realizations
    • Hendrickson, B.: "Conditions for unique graph realizations"; SIAM Journal of Computing 21, 1 (1992), 65-84.
    • (1992) SIAM Journal of Computing , vol.21 , Issue.1 , pp. 65-84
    • Hendrickson, B.1
  • 5
    • 0031281604 scopus 로고
    • An algorithm for two-dimensional rigidity percolation: The pebble game
    • Jacobs, D. J., Hendrickson, B.: "An algorithm for two-dimensional rigidity percolation: the pebble game"; Journal of Computational Physics 137 (1992), 346-365.
    • (1992) Journal of Computational Physics , vol.137 , pp. 346-365
    • Jacobs, D.J.1    Hendrickson, B.2
  • 6
    • 0014856102 scopus 로고
    • On graphs and rigidity of plane skeletal structures
    • Laman, G.: "On graphs and rigidity of plane skeletal structures"; Journal of Engineering Mathematics 4 (1970), 331-340.
    • (1970) Journal of Engineering Mathematics , vol.4 , pp. 331-340
    • Laman, G.1
  • 7
    • 38749117882 scopus 로고    scopus 로고
    • Pebble game algorithms and sparse graphs
    • to appear;
    • Lee, A., Streinu, I.: "Pebble game algorithms and sparse graphs"; Discrete Mathematics, to appear; http://arxiv.org/abs/math/ 0702129.
    • Discrete Mathematics
    • Lee, A.1    Streinu, I.2
  • 10
    • 84881100274 scopus 로고
    • Edge-disjoint spanning trees of finite graphs
    • Nash-Williams, C. S. J. A.: "Edge-disjoint spanning trees of finite graphs"; Journal London Math. Soc. 36 (1961), 445-450.
    • (1961) Journal London Math. Soc , vol.36 , pp. 445-450
    • Nash-Williams, C.S.J.A.1
  • 11
    • 0004061262 scopus 로고
    • The Clarendon Press Oxford University Press, New York
    • Oxley, J. G.: "Matroid theory"; The Clarendon Press Oxford University Press, New York (1961).
    • (1961) Matroid theory
    • Oxley, J.G.1
  • 12
    • 0038457531 scopus 로고    scopus 로고
    • Constraining plane configurations in CAD: Combinatorics of directions and lengths
    • Servatius, B., Whiteley, W.: "Constraining plane configurations in CAD: Combinatorics of directions and lengths"; SIAM Journal on Discrete Mathematics 12(1) (1999), 136-153.
    • (1999) SIAM Journal on Discrete Mathematics , vol.12 , Issue.1 , pp. 136-153
    • Servatius, B.1    Whiteley, W.2
  • 15
    • 48749140410 scopus 로고
    • Rigidity of multigraphs I: Linking rigid bodies in n-space
    • Tay, T.-S.: "Rigidity of multigraphs I: linking rigid bodies in n-space"; Journal of Combinatorial Theory Series B 26 (1994), 95-112.
    • (1994) Journal of Combinatorial Theory Series B , vol.26 , pp. 95-112
    • Tay, T.-S.1
  • 16
    • 84963041976 scopus 로고
    • On the problem of decomposing a graph into n connected factors
    • Tutte, W. T.: "On the problem of decomposing a graph into n connected factors"; Journal London Math. Soc. 142 (1961), 221-230.
    • (1961) Journal London Math. Soc , vol.142 , pp. 221-230
    • Tutte, W.T.1
  • 17
    • 0039141408 scopus 로고
    • The union of matroids and the rigidity of frameworks
    • Whiteley, W.: "The union of matroids and the rigidity of frameworks"; SIAM Journal Discrete Mathematics 1, 2 (1988), 237-255.
    • (1988) SIAM Journal Discrete Mathematics , vol.1 , Issue.237-255 , pp. 2
    • Whiteley, W.1
  • 18
    • 38749119601 scopus 로고    scopus 로고
    • Whiteley, W.: Some matroids from discrete applied geometry; In: Matroid Theory (Bonin, J., Oxley, J. G., Servatius, B., Editors), 197 of Contemporary Mathematica, American Mathematical Society (1996), 171-311.
    • Whiteley, W.: "Some matroids from discrete applied geometry"; In: Matroid Theory (Bonin, J., Oxley, J. G., Servatius, B., Editors), volume 197 of Contemporary Mathematica, American Mathematical Society (1996), 171-311.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.