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Volumn 136, Issue 1-3, 2004, Pages 7-36

Hamiltonian knot projections and lengths of thick knots

Author keywords

Crossing number; Knots; Links; Rope length of knots; Thickness of knots

Indexed keywords


EID: 0344514087     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-8641(03)00182-2     Document Type: Article
Times cited : (26)

References (33)
  • 2
    • 0032546348 scopus 로고    scopus 로고
    • Four-thirds power law for knots and links
    • Buck G. Four-thirds power law for knots and links Nature 392 1998 238-239
    • (1998) Nature , vol.392 , pp. 238-239
    • Buck, G.1
  • 3
    • 15944372663 scopus 로고    scopus 로고
    • Thickness and crossing number of knots
    • Buck G. Simon J. Thickness and crossing number of knots Topology Appl. 91 3 1999 245-257
    • (1999) Topology Appl. , vol.91 , Issue.3 , pp. 245-257
    • Buck, G.1    Simon, J.2
  • 5
    • 0344693423 scopus 로고    scopus 로고
    • Private communication
    • J. Cantarella, et al., Private communication
    • Cantarella, J.1
  • 6
    • 0032546385 scopus 로고    scopus 로고
    • Tight knot values deviate from linear relations
    • Cantarella J. Kusner R.B. Sullivan J.M. Tight knot values deviate from linear relations Nature 392 1998 237-238
    • (1998) Nature , vol.392 , pp. 237-238
    • Cantarella, J.1    Kusner, R.B.2    Sullivan, J.M.3
  • 7
    • 0035981373 scopus 로고    scopus 로고
    • On the minimum ropelength of knots and links
    • Cantarella J. Kusner R.B. Sullivan J.M. On the minimum ropelength of knots and links Invent. Math. 150 2 2002 257-286
    • (2002) Invent. Math. , vol.150 , Issue.2 , pp. 257-286
    • Cantarella, J.1    Kusner, R.B.2    Sullivan, J.M.3
  • 8
    • 24844440203 scopus 로고    scopus 로고
    • The additivity of crossing numbers
    • Preprint
    • Y. Diao, The additivity of crossing numbers, Preprint
    • Diao, Y.1
  • 9
    • 0002844716 scopus 로고    scopus 로고
    • The complexity of lattice knots
    • Diao Y. Ernst C. The complexity of lattice knots Topology Appl. 90 1-3 1998 1-9
    • (1998) Topology Appl. , vol.90 , Issue.1-3 , pp. 1-9
    • Diao, Y.1    Ernst, C.2
  • 10
    • 0344261784 scopus 로고    scopus 로고
    • The crossing numbers of thick knots and links
    • Diao Y. Ernst C. The crossing numbers of thick knots and links Contemp. Math. 304 2002 163-174
    • (2002) Contemp. Math. , vol.304 , pp. 163-174
    • Diao, Y.1    Ernst, C.2
  • 14
    • 0000869068 scopus 로고
    • Duplex DNA knots produced by Escherichia coli topoisomerase I
    • Dean F.B. Stasiak A. Toller T. Cozzarelli N.R. Duplex DNA knots produced by Escherichia coli topoisomerase I J. Biol. Chem. 260 1985 4795-4983
    • (1985) J. Biol. Chem. , vol.260 , pp. 4795-4983
    • Dean, F.B.1    Stasiak, A.2    Toller, T.3    Cozzarelli, N.R.4
  • 15
    • 4243208088 scopus 로고    scopus 로고
    • An upper bound on the minimal edge number of an n-crossing lattice knot
    • Preprint
    • H. Johnston, J. Cantarella, An upper bound on the minimal edge number of an n-crossing lattice knot, Preprint
    • Johnston, H.1    Cantarella, J.2
  • 18
    • 0000282829 scopus 로고
    • State models and the Jones polynomial
    • Kauffman L. State models and the Jones polynomial Topology 26 3 1987 395-407
    • (1987) Topology , vol.26 , Issue.3 , pp. 395-407
    • Kauffman, L.1
  • 20
    • 0003210678 scopus 로고    scopus 로고
    • An Introduction to Knot Theory
    • Berlin: Springer
    • Lickorish W.B.R. An Introduction to Knot Theory Graduate Text in Math. 175 1997 Springer Berlin
    • (1997) Graduate Text in Math. , vol.175
    • Lickorish, W.B.R.1
  • 23
    • 0542399962 scopus 로고
    • Jones polynomials and classical conjectures in knot theory
    • Murasugi K. Jones polynomials and classical conjectures in knot theory Topology 26 2 1987 187-194
    • (1987) Topology , vol.26 , Issue.2 , pp. 187-194
    • Murasugi, K.1
  • 24
    • 0012940634 scopus 로고    scopus 로고
    • The Möbius energy of thick knots
    • Rawdon E. Simon J. The Möbius energy of thick knots Topology Appl. 125 1 2002 97-109
    • (2002) Topology Appl. , vol.125 , Issue.1 , pp. 97-109
    • Rawdon, E.1    Simon, J.2
  • 25
  • 26
    • 0345555661 scopus 로고
    • DNA knot formation in aqueous solutions
    • K. C. Millett, & D. W. Sumners (Eds.), Singapore: World Scientific
    • Shaw S.Y. Wang J.C. DNA knot formation in aqueous solutions in: Millett K.C. Sumners D.W. (Eds.), Random Knotting and Linking 1994 55-66 World Scientific Singapore
    • (1994) Random Knotting and Linking , pp. 55-66
    • Shaw, S.Y.1    Wang, J.C.2
  • 28
    • 0001618159 scopus 로고
    • A spanning tree expansion of the Jones polynomial
    • Thistlethwaite M. A spanning tree expansion of the Jones polynomial Topology 26 3 1987 297-309
    • (1987) Topology , vol.26 , Issue.3 , pp. 297-309
    • Thistlethwaite, M.1
  • 29
    • 71049134816 scopus 로고
    • A theorem on planar graphs
    • Tutte W.T. A theorem on planar graphs Trans. Amer. Math. Soc. 83 1956 99-116
    • (1956) Trans. Amer. Math. Soc. , vol.83 , pp. 99-116
    • Tutte, W.T.1
  • 30
    • 0003702909 scopus 로고
    • New York: Cambridge University Press
    • Tutte W.T. Graph Theory 1984 Cambridge University Press New York
    • (1984) Graph Theory
    • Tutte, W.T.1
  • 31
    • 0020325474 scopus 로고
    • DNA topoisomerases
    • Wang J.C. DNA topoisomerases Sci. Amer. 247 1982 94-109
    • (1982) Sci. Amer. , vol.247 , pp. 94-109
    • Wang, J.C.1
  • 32
    • 0021891888 scopus 로고
    • DNA topoisomerases
    • Wang J.C. DNA topoisomerases Ann. Rev. Biochem. 54 1985 665-697
    • (1985) Ann. Rev. Biochem. , vol.54 , pp. 665-697
    • Wang, J.C.1
  • 33
    • 0000895923 scopus 로고
    • A theorem on graphs
    • Whitney H. A theorem on graphs Ann. of Math. 32 1931 378-390
    • (1931) Ann. of Math. , vol.32 , pp. 378-390
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.