The rate of growth of the number of prime alternating links and tangles

Pacific Journal of Mathematics

Volumn 182, Issue 2, 1998, Pages 329-358

  Sundberg, Carl ^a   Thistlethwaite, Morwen ^a  

^a UNIVERSITY OF TENNESSEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005274395     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1998.182.329     Document Type: Review

References (9)

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2. J.H. Conway, An enumeration of knots and links, Computational Problems in Abstract Algebra, ed. Leech, Pergamon Press 1970, 329-358.
3. C. Ernst and D.W. Sumners, The growth of the number of prime knots, Proc. Camb. Phil. Soc., 102 (1987), 303-315.
4. E. Hille, Analytic function theory, Vol. 1, Ginn and Co., 1962.
5. W.W. Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology, 23(3) (1984), 37-44.
6. W.W. Menasco and M.B. Thistlethwaite, The classification of alternating links, Ann. of Math., 138 (1993), 113-171.
7. M.B. Thistlethwaite, On the algebraic part of an alternating link, Pacific J. Math., 151 (1991), 317-333.
8. W. Tutte, A census of planar maps, Canad. J. Math., 15 (1963), 249-271.
9. D.J.A. Welsh, On the number of knots and links, Colloquia Mathematica Societatis Janos Bolyai, 60 (1991), 713-718.