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Volumn 6, Issue 5, 1997, Pages 633-657

In search of a good polygonal knot energy

Author keywords

Energies of knots; Equilateral polygons; Knots; Polygonal knots; Simulated annealing

Indexed keywords


EID: 0031491014     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216597000352     Document Type: Article
Times cited : (13)

References (16)
  • 1
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    • Energy of a Knot
    • J. O'Hara, Energy of a Knot, Topology, 30 (1991), 241-247.
    • (1991) Topology , vol.30 , pp. 241-247
    • O'Hara, J.1
  • 3
    • 0001856837 scopus 로고
    • Torus Knots Extremizing the Möbius Energy
    • D. Kim and R.B. Kusner, Torus Knots Extremizing the Möbius Energy, Exper. Math. 2 (1993) 1-9.
    • (1993) Exper. Math. , vol.2 , pp. 1-9
    • Kim, D.1    Kusner, R.B.2
  • 4
    • 0002783768 scopus 로고
    • The Principle of Symmetric Criticality
    • R. Palais, The Principle of Symmetric Criticality, Comm. Math. Phys. 69 (1979), 19-30.
    • (1979) Comm. Math. Phys. , vol.69 , pp. 19-30
    • Palais, R.1
  • 5
    • 85033132632 scopus 로고
    • Computing the Möbius Energy of Torus Knots by Residue Calculus
    • R.B. Kusner and G. Stengle, Computing the Möbius Energy of Torus Knots by Residue Calculus, Exper. Math. 2 (1993) 4.
    • (1993) Exper. Math. , vol.2 , pp. 4
    • Kusner, R.B.1    Stengle, G.2
  • 8
    • 0037920120 scopus 로고    scopus 로고
    • Properties of Knot Energies
    • (eds. S.G. Whittington, D.W. Sumners and T. Lodge), IMA Volumes in Mathematics and its Applications
    • Y. Diao, C. Ernst and E.J. Janse Van Rensburg, Properties of Knot Energies, To appear in Topology and Geometry in Polymer Science (eds. S.G. Whittington, D.W. Sumners and T. Lodge), IMA Volumes in Mathematics and its Applications.
    • Topology and Geometry in Polymer Science
    • Diao, Y.1    Ernst, C.2    Janse Van Rensburg, E.J.3
  • 10
    • 43949165936 scopus 로고
    • Computing canonical conformations for knots
    • G. Buck and J. Orloff, Computing canonical conformations for knots, Topology Appl., 51 (1993), 246-253.
    • (1993) Topology Appl. , vol.51 , pp. 246-253
    • Buck, G.1    Orloff, J.2
  • 11
    • 26444479778 scopus 로고
    • Optimization by Simulated Annealing
    • S. Kirkpatrick, C.D. Gelatt Jr. and M.P. Vecchi, Optimization by Simulated Annealing, Science, 220 no. 4598 (1983) 671-680.
    • (1983) Science , vol.220 , Issue.4598 , pp. 671-680
    • Kirkpatrick, S.1    Gelatt Jr., C.D.2    Vecchi, M.P.3
  • 15
    • 0006258094 scopus 로고
    • Knotting of Regular Polygons in 3-Space
    • Random Knotting and Linking ed. K.C. Millett and D.W. Sumners, World Scientific
    • K.C. Millett, Knotting of Regular Polygons in 3-Space, in Random Knotting and Linking ed. K.C. Millett and D.W. Sumners, Series on Knots and Everything 7, World Scientific, (1994) 31-46.
    • (1994) Series on Knots and Everything , vol.7 , pp. 31-46
    • Millett, K.C.1
  • 16
    • 0642316397 scopus 로고
    • An Elementary Invariant of Knots
    • Random Knotting and Linking ed. K.C. Millette and D.W. Sumners, World Scientific
    • R. Randell, An Elementary Invariant of Knots, in Random Knotting and Linking ed. K.C. Millette and D.W. Sumners, Series on Knots and Everything 7, World Scientific, (1994) 47-54.
    • (1994) Series on Knots and Everything , vol.7 , pp. 47-54
    • Randell, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.