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1998 | 42 | 1 | 235-242
Tytuł artykułu

Edge number results for piecewise-Linear knots

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The minimal number of edges required to form a knot or link of type K is the edge number of K, and is denoted e(K). When knots are drawn with edges, they are appropriately called piecewise-linear or PL knots. This paper presents some edge number results for PL knots. Included are illustrations of and integer coordinates for the vertices of several prime PL knots.
Słowa kluczowe
Rocznik
Tom
42
Numer
1
Strony
235-242
Opis fizyczny
Daty
wydano
1998
Twórcy
  • Bethel College, North Newton, Kansas 67117, U.S.A.
Bibliografia
  • [1] C. C. Adams, B. M. Brennan, D. L. Greilsheimer and A. K. Woo, Stick numbers and compositions of knots and links, Journal of Knot Theory and Its Ramifications, to appear.
  • [2] E. Flapan, Rigid and non-rigid achirality, Pacific Journal of Mathematics, 129(1):57-66, 1987.
  • [3] K. Hunt, KED, The University of Iowa. A computer program used to draw knots, http://www.cs.uiowa.edu/~hunt/knot.htm.
  • [4] G. T. Jin, Polygon indices and superbridge indices, Journal of Knot Theory and Its Ramifications, to appear.
  • [5] G. T. Jin and H. S. Kim, Polygonal knots, Journal of the Korean Mathematical Society, 30(2):371-383, 1993.
  • [6] K. C. Millett, Knotting of regular polygons in 3-space, in K. C. Millett and D. W. Sumners, editors, Random Knotting and Linking, pages 31-46. World Scientifis, Singapore, 1994.
  • [7] R. Randell, Invariants of piecewise-linear knots, this volume.
  • [8] D. Rolfsen, Knots and Links, Publish or Perish, Inc., Houston, 1990.
  • [9] K. Smith, Generalized braid arrangements and related quotient spaces, PhD thesis, The University of Iowa, Iowa City, IA, USA, 1992.
  • [10] Y-Q. Wu, MING, The University of Iowa, Iowa City, Iowa. A computer program used to draw knots, available via anonymous ftp at ftp.math.uiowa.edu/pub/wu/ming.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-bcpv42i1p235bwm
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