32 citations · 89 across the 13 of their papers we have counts for
17 papers
Virtual Mosaic Knot Theory
Sandy Ganzell, Allison Henrich
Mosaic diagrams for knots were first introduced in 2008 by Lomanoco and Kauffman for the purpose of building a quantum knot system. Since then, many others have explored the struct…
Petal Projections, Knot Colorings and Determinants
Allison Henrich, Roshni Thangavelu Truax
An übercrossing diagram is a knot diagram with only one crossing that may involve more than two strands of the knot. Such a diagram without any nested loops is called a petal proje…
The Region Smoothing Swap Game
Allison Henrich, Inga Johnson, Jonah Ostroff
We introduce a topological combinatorial game called the Region Smoothing Swap Game. The game is played on a game board derived from the connected shadow of a link diagram on a (po…
Knot Fertility and Lineage
Jason Cantarella, Allison Henrich, Elsa Magness +4
In this paper, we introduce a new type of relation between knots called the descendant relation. One knot is a descendant of another knot if can be obtained from a mini…
Tangle Insertion Invariants for Pseudoknots, Singular Knots, and Rigid Vertex Spatial Graphs
Allison Henrich, Louis H. Kauffman
The notion of a pseudoknot is defined as an equivalence class of knot diagrams that may be missing some crossing information. We provide here a topological invariant schema for pse…
The Signed Weighted Resolution Set is Not a Complete Pseudoknot Invariant
Allison Henrich, Slavik Jablan, Inga Johnson
When the signed weighted resolution set was defined as an invariant of pseudoknots, it was unknown whether this invariant was complete. Using the Gauss-diagrammatic invariants of p…