We give a solution to a part of Problem 1.60 in Kirby's list of open problems in topology, thus answering in the positive the question raised in 1987 by J. Przytycki.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm225-1-6,
author = {Sergei Duzhin and Mikhail Shkolnikov},
title = {Bipartite knots},
journal = {Fundamenta Mathematicae},
volume = {227},
year = {2014},
pages = {95-102},
zbl = {1303.57007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm225-1-6}
}
Sergei Duzhin; Mikhail Shkolnikov. Bipartite knots. Fundamenta Mathematicae, Tome 227 (2014) pp. 95-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm225-1-6/