Links associated with generic immersions of graphs.
Kawamura, Tomomi (2004)
Algebraic & Geometric Topology
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Kawamura, Tomomi (2004)
Algebraic & Geometric Topology
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Garoufalidis, Stavros, Levine, Jerome (2001)
Algebraic & Geometric Topology
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Richard Randell (1998)
Banach Center Publications
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We study numerical and polynomial invariants of piecewise-linear knots, with the goal of better understanding the space of all knots and links. For knots with small numbers of edges we are able to find limits on polynomial or Vassiliev invariants sufficient to determine an exact list of realizable knots. We thus obtain the minimal edge number for all knots with six or fewer crossings. For example, the only knot requiring exactly seven edges is the figure-8 knot.
Slavik Jablan, Ljiljana Radović, Radmila Sazdanović (2010)
Publications de l'Institut Mathématique
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Garoufalidis, Stavros (2004)
Algebraic & Geometric Topology
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Szabó, Zoltán, Ozváth, Peter (2003)
Geometry & Topology
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Ng, Lenhard (2005)
Algebraic & Geometric Topology
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Deruelle, A., Matignon, D. (2003)
Algebraic & Geometric Topology
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Greene, Michael, Wiest, Bert (1998)
Geometry & Topology
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Ljiljana Radović, Slavik Jablan (2013)
Publications de l'Institut Mathématique
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H. M. Hilden, J. M. Montesinos, D. M. Tejada, M. M. Toro (2004)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Slavik V. Jablan, Ljiljana M. Radović, Radmila Sazdanović (2005)
Kragujevac Journal of Mathematics
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