test_yamada#

Functions

test_thetas_recursive()

test_yamada_examples_from_paper()

Test the Yamada polynomial with examples from the paper [Yamada, Shǔji.

test_yamada_moriuchi()

Test the Yamada polynomial with Moriuchi's classification of theta-curves and hancduff links from [Moriuchi, Hiromasa.

test_yamada_reidemeister()

test_yamada_examples_from_paper()#

Test the Yamada polynomial with examples from the paper [Yamada, Shǔji. “An invariant of spatial graphs.” Journal of Graph Theory 13.5 (1989): 537-551.]

test_yamada_moriuchi()#

Test the Yamada polynomial with Moriuchi’s classification of theta-curves and hancduff links from [Moriuchi, Hiromasa. “An Enumeration of Theta-Curves with up to Seven Crossings” Journal of Knot Theory & Its Ramifications 18.2 (2009)] [Moriuchi, Hiromasa. “A table of $ heta $-curves and handcuff graphs with up to seven crossings.” Noncommutativity and Singularities: Proceedings of French–Japanese symposia held at IHÉS in 2006. Vol. 55. Mathematical Society of Japan, 2009.] Test examples and values are taken from Topoly (https://topoly.cent.uw.edu.pl/) [Pawel Dabrowski-Tumanski, Pawel Rubach, Wanda Niemyska, Bartosz Ambrozy Gren, Joanna Ida Sulkowska, Topoly: Python package to analyze topology of polymers, Briefings in Bioinformatics, bbaa196, https://doi.org/10.1093/bib/bbaa196]

test_yamada_reidemeister()#
test_thetas_recursive()#