We characterize which automorphisms of an arbitrary complete bipartite graph can be induced by a homeomorphism of some embedding of the graph in S³.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm226-1-1, author = {Erica Flapan and Nicole Lehle and Blake Mellor and Matt Pittluck and Xan Vongsathorn}, title = {Symmetries of embedded complete bipartite graphs}, journal = {Fundamenta Mathematicae}, volume = {227}, year = {2014}, pages = {1-16}, zbl = {1305.57004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm226-1-1} }
Erica Flapan; Nicole Lehle; Blake Mellor; Matt Pittluck; Xan Vongsathorn. Symmetries of embedded complete bipartite graphs. Fundamenta Mathematicae, Tome 227 (2014) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm226-1-1/