2 papers
math.GT2021
On inequalities between unknotting numbers and crossing numbers of spatial embeddings of trivializable graphs and handlebody-knots
Yuta Akimoto
We study relations between unknotting number and crossing number of a spatial embedding of a handcuff-graph and a theta curve. It is well known that for any non-trivial knot tw…
math.GT2020
Unknotting numbers and crossing numbers of spatial embeddings of a planar graph
Yuta Akimoto, Kouki Taniyama
It is known that the unknotting number of a link is less than or equal to half the crossing number of . We show that there are a planar graph and its spati…