5 citations · 6 across the 4 of their papers we have counts for
8 papers
Bounds in simple hexagonal lattice and classification of 11-stick knots
Yueheng Bao, Ari Benveniste, Marion Campisi +4
The stick number and the edge length of a knot type in the simple hexagonal lattice (sh-lattice) are the minimal numbers of sticks and edges required, respectively, to construct a…
Vertex distortion detects the unknot
Marion Campisi, Nicholas Cazet, David Crncevic +5
The first two authors introduced vertex distortion and showed that the vertex distortion of the unknot is trivial. It was conjectured that the vertex distortion of a knot is trivia…
Vertex distortion of lattice knots
Marion Campisi, Nicholas Cazet
The vertex distortion of a lattice knot is the supremum of the ratio of the distance between a pair of vertices along the knot and their distance in the l1-norm. We show analogous…
Kirby-Thompson distance for trisections of knotted surfaces
Ryan Blair, Marion Campisi, Scott A. Taylor +1
We adapt work of Kirby-Thompson and Zupan to define an integer invariant of a bridge trisection of a smooth surface in …
The disk complex and topologically minimal surfaces in the 3-sphere
Marion Campisi, Luis Torres
We show that the disk complex of a genus Heegaard surface for the 3-sphere is homotopy equivalent to a wedge of -dimensional spheres. This implies that genus He…
Hyperbolic manifolds containing high topological index surfaces
Marion Campisi, Matt Rathbun
If a graph is in bridge position in a 3-manifold so that the graph complement is irreducible and boundary irreducible, we generalize a result of Bachman and Schleimer to prove that…