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v1.3.0

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@jdorier jdorier released this 11 Mar 10:34

New features:

  • New polynomial invariants: arrow polynomial for knotoids on the sphere and loop arrow polynomial for knotoids on the plane (Goundaroulis et al. Polymers 9, 444 (2017)). New option --arrow-polynomial (in knotted_core and polynomial_invariant) to use these polynomial invariants.

  • Added file examples/knotoid_names_sphere_arrow.txt mapping arrow polynomial to knotoid names and examples/knotoid_names_planar_arrow.txt mapping loop arrow polynomials to knotoid names. File examples/knotoid_names_sphere_arrow.txt is based on and exhaustive classification of all knotoid diagrams on the sphere with up to 6 crossings. File examples/knotoid_names_planar_arrow.txt is based on and exhaustive classification of all knotoid diagrams on the plane with up to 5 crossings but also includes planar representatives of knot-type knotoids and of knotoids on the sphere with 6 crossings. More details on the classification of knotoids used to generate these files can be found in:
    D. Goundaroulis, J. Dorier and A. Stasiak, "A systematic classification of knotoids on the plane and on the sphere" arXiv:1902.07277 [math.GT].

  • New option --names-db=internal to use an internal database mapping polynomials to knot(oid) names instead of specifying an external file. Note that this database contains exactly the same information as the file examples/knot_names.txt, examples/knotoid_names_planar.txt, examples/knotoid_names_planar_arrow.txt, examples/knotoid_names_sphere.txt and examples/knotoid_names_sphere_arrow.txt.

Changes:

  • File examples/knotoid_names_planar.txt: in addition to all knotoid diagrams on the plane with up to 5 crossings, the classification now also includes knot-type knotoids and knotoids on the sphere with 6 crossings. More details on the classification of knotoids used to generate these files can be found in:
    D. Goundaroulis, J. Dorier and A. Stasiak, "A systematic classification of knotoids on the plane and on the sphere" arXiv:1902.07277 [math.GT].

Binary distributions:

Binary distributions can be downloaded from the "Assets" section below. Please download the distribution corresponding to your OS:

  • Knoto-ID-1.3.0-Linux-libc2.12.tar.gz for Linux 64-bit with libc>=2.12.
  • Knoto-ID-1.3.0-Darwin-OSX10.10.tar.gz for Mac OS X 64-bits >=10.10.
  • Knoto-ID-1.3.0-win64.zip for Windows 64-bits.