32 citations · 89 across the 13 of their papers we have counts for
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math.GT2009★ 16 cited
Classical and Virtual Pseudodiagram Theory and New Bounds on Unknotting Numbers and Genus
Allison Henrich, Noel MacNaughton, Sneha Narayan +2
A pseudodiagram is a diagram of a knot with some crossing information missing. We review and expand the theory of pseudodiagrams introduced by R. Hanaki. We then extend this theory…
math.GT2009★ 11 cited
Semiquandles and flat virtual knots
Allison Henrich, Sam Nelson
We introduce an algebraic structure we call semiquandles whose axioms are derived from flat Reidemeister moves. Finite semiquandles have associated counting invariants and enhanced…