7 citations · 8 across the 3 of their papers we have counts for
4 papers
NP-hard problems naturally arising in knot theory
Dale Koenig, Anastasiia Tsvietkova
We prove that certain problems naturally arising in knot theory are NP--hard or NP--complete. These are the problems of obtaining one diagram from another one of a link in a bounde…
3-manifolds lying in trisected 4-manifolds
Dale Koenig
The spine of a trisected 4-manifold is a singular 3-dimensional set from which the trisection itself can be reconstructed. 3-manifolds embedded in the trisected 4--manifold can oft…
Trisections of 3-Manifolds
Dale Koenig
We define a trisection of a closed, orientable three dimensional manifold into three handlebodies, and a notion of stabilization for these trisections. Several examples of trisecti…
Trisections of 3-manifold bundles over
Dale Koenig
Let be a bundle over with fiber a 3--manifold and with monodromy . Gay and Kirby showed that if fixes a genus Heegaard splitting of then has a genu…