메뉴 건너뛰기




Volumn , Issue , 2005, Pages 473-494

Generating large random knot projections

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85115912115     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812703460_0023     Document Type: Chapter
Times cited : (14)

References (15)
  • 1
    • 15944372663 scopus 로고    scopus 로고
    • Thickness and Crossing Number of Knots
    • G. Buck and J. Simon, Thickness and Crossing Number of Knots, Topology Appl. 91(3) (1999), pp. 245-257.
    • (1999) Topology Appl. , vol.91 , Issue.3 , pp. 245-257
    • Buck, G.1    Simon, J.2
  • 3
    • 0032546385 scopus 로고    scopus 로고
    • Tight Knot Values Deviate from Linear Relations
    • J. Cantarella, R. B. Kusner and J. M. Sullivan, Tight Knot Values Deviate from Linear Relations, Nature, 392 (1998), pp. 237-238.
    • (1998) Nature , vol.392 , pp. 237-238
    • Cantarella, J.1    Kusner, R.B.2    Sullivan, J.M.3
  • 4
    • 0037329720 scopus 로고    scopus 로고
    • The Lower Bounds of the Lengths of Thick Knots
    • Y. Diao, The Lower Bounds of the Lengths of Thick Knots, J. Knot Theory Ramifications 12 (2003), no. 1, 1-16.
    • (2003) J. Knot Theory Ramifications , vol.12 , Issue.1 , pp. 1-16
    • Diao, Y.1
  • 5
    • 0002844716 scopus 로고    scopus 로고
    • The Complexity of Lattice Knots
    • 12 (2003), no. 1
    • Y. Diao and C. Ernst, The Complexity of Lattice Knots, Topology Appl. 90, no. 1-3 (1998), pp. 1-9. 12 (2003), no. 1, pp. 1-16.
    • (1998) Topology Appl. , vol.90 , Issue.1-3
    • Diao, Y.1    Ernst, C.2
  • 6
    • 32644443793 scopus 로고    scopus 로고
    • Realizable powers of ropelengths by non-trivial knot families
    • Y. Diao and C. Ernst, Realizable powers of ropelengths by non-trivial knot families, JP J. Geom. Topol. 4 (2004), no. 2, 197-208.
    • (2004) JP J. Geom. Topol. , vol.4 , Issue.2 , pp. 197-208
    • Diao, Y.1    Ernst, C.2
  • 7
    • 0141567773 scopus 로고    scopus 로고
    • The Linear Growth in Rope Length of a Family of Knots
    • Y. Diao, C. Ernst and M. Thistlethwaite, The Linear Growth in Rope Length of a Family of Knots, J. Knot Theory Ramifications 12 (2003), no. 5, 709-715.
    • (2003) J. Knot Theory Ramifications , vol.12 , Issue.5 , pp. 709-715
    • Diao, Y.1    Ernst, C.2    Thistlethwaite, M.3
  • 8
    • 0344514087 scopus 로고    scopus 로고
    • Hamiltonian Knot Projections and Lengths of Thick Knots
    • Y. Diao, C. Ernst and X. Yu, Hamiltonian Knot Projections and Lengths of Thick Knots, Topology Appl. 136 (2004), no. 1-3, 7-36.
    • (2004) Topology Appl. , vol.136 , Issue.1-3 , pp. 7-36
    • Diao, Y.1    Ernst, C.2    Yu, X.3
  • 9
    • 0002017747 scopus 로고
    • Classification of knot projections
    • C. H. Dowker and M. Thistlethwaite, Classification of knot projections, Topol. Appl. 16 (1983), pp. 19-31.
    • (1983) Topol. Appl. , vol.16 , pp. 19-31
    • Dowker, C.H.1    Thistlethwaite, M.2
  • 10
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • R. Miller and J. Thatcher, editors, Plenum Press
    • R. M. Karp, Reducibility among combinatorial problems, In R. Miller and J. Thatcher, editors, Complexity of Computer Computations, Plenum Press, 1972. pp. 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 11
    • 0012940634 scopus 로고    scopus 로고
    • The Moebius energy of thick knots
    • E. Rawdon and J. Simon, The Moebius energy of thick knots, Topology Appl. 125 (2002), no. 1, pp. 97-109.
    • (2002) Topology Appl. , vol.125 , Issue.1 , pp. 97-109
    • Rawdon, E.1    Simon, J.2
  • 12
    • 13744253226 scopus 로고    scopus 로고
    • Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees
    • Research Paper 20, electronic
    • P. Schaeffer, Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees, Electron. J. Combin. 4 (1997), no. 1, Research Paper 20, 14 pp. (electronic).
    • (1997) Electron. J. Combin. , vol.4 , Issue.1 , pp. 14
    • Schaeffer, P.1
  • 13
    • 0005274395 scopus 로고    scopus 로고
    • The rate of growth of the number of prime alternating links and tangles
    • C. Sundberg, and M. B. Thistlethwaite, The rate of growth of the number of prime alternating links and tangles, Pacific J. Math., Vol.182, No.2 (1998), 329-358.
    • (1998) Pacific J. Math. , vol.182 , Issue.2 , pp. 329-358
    • Sundberg, C.1    Thistlethwaite, M.B.2
  • 14
    • 14944356215 scopus 로고    scopus 로고
    • On the asymptotic number of plane curves and alternating knots
    • P. Schaeffer, and P. Zinn-Justin, On the asymptotic number of plane curves and alternating knots, Experiment. Math. 13 (2004), no. 4, 483-493.
    • (2004) Experiment. Math. , vol.13 , Issue.4 , pp. 483-493
    • Schaeffer, P.1    Zinn-Justin, P.2
  • 15
    • 0032355412 scopus 로고    scopus 로고
    • On the structure and scarcity of alternating links and tangles
    • M. B. Thistlethwaite, On the structure and scarcity of alternating links and tangles, J. Knot Theory Ramifications, Vol.7, No.7 (1998), 981-1004.
    • (1998) J. Knot Theory Ramifications , vol.7 , Issue.7 , pp. 981-1004
    • Thistlethwaite, M.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.