3 citations · 7 across the 12 of their papers we have counts for
3 papers · 1 filter
Large 1-systems of Curves in Non-orientable Surfaces
Sarah Ruth Nicholls, Nancy Scherich, Julia Shneidman
A longstanding avenue of research in orientable surface topology is to create and enumerate collections of curves in surfaces with certain intersection properties. We look for simi…
Yarn Ball Knots and Faster Computations
Dror Bar-Natan, Itai Bar-Natan, Iva Halacheva +1
We make use of the 3D nature of knots and links to find savings in computational complexity when computing knot invariants such as the linking number and, in general, most finite t…
An Invariant of Virtual Trivalent Spatial Graphs
Evan Carr, Nancy Scherich, Sherilyn Tamagawa
We create an invariant of virtual Y-oriented trivalent spatial graphs using colorings by virtual Niebrzydowski algebras. This paper generalizes the color invariants using virtual t…