Edge number results for piecewise-Linear knots
Banach Center Publications (1998)
- Volume: 42, Issue: 1, page 235-242
- ISSN: 0137-6934
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topMeissen, Monica. "Edge number results for piecewise-Linear knots." Banach Center Publications 42.1 (1998): 235-242. <http://eudml.org/doc/208808>.
@article{Meissen1998,
abstract = {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.},
author = {Meissen, Monica},
journal = {Banach Center Publications},
keywords = {PL knot; edge number},
language = {eng},
number = {1},
pages = {235-242},
title = {Edge number results for piecewise-Linear knots},
url = {http://eudml.org/doc/208808},
volume = {42},
year = {1998},
}
TY - JOUR
AU - Meissen, Monica
TI - Edge number results for piecewise-Linear knots
JO - Banach Center Publications
PY - 1998
VL - 42
IS - 1
SP - 235
EP - 242
AB - 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.
LA - eng
KW - PL knot; edge number
UR - http://eudml.org/doc/208808
ER -
References
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- [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. Zbl0838.57008
- [7] R. Randell, Invariants of piecewise-linear knots, this volume. Zbl0901.57014
- [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.
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