3 citations · 7 across the 12 of their papers we have counts for
4 papers · 1 filter
Danceability, A New Definition of Bridge Index
Sol Addison, Sarah Blackwell, Puttipong Pongtanapaisan +3
There are many commonly known definitions of the bridge index coming from combinatorial knot theory, Morse theory, geometry, and algebra. In this paper, we prove that the danceabil…
Searching for non-order-preserving braids algorithmically
Jonathan Johnson, Nancy Scherich, Hannah Turner
An -strand braid is order-preserving if its action on the free group preserves some bi-order of . A braid is order-preserving if and only if the link obtained…
Computing Finite Type Invariants Efficiently
Dror Bar-Natan, Itai Bar-Natan, Iva Halacheva +1
We describe an efficient algorithm to compute finite type invariants of type by first creating, for a given knot with crossings, a look-up table for all subdiagrams of…
Danceability, Directed by Braid Index
Sol Addison, Nancy Scherich, Lila Snodgrass
Schaffer introduced the concept of danceability of a knot diagram. In this paper, we expand upon Schaffer's ideas to create a danceability knot invariant and show that this invaria…