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math.GT2023
Rational Link Fertility
Andrew Ducharme
A knot K is the resultant of a knot H if there exists a minimal crossing diagram D of K such that some crossings of D can be altered to produce H. K is fertile if every prime knot…
math.GT2019★ 1 cited
Combinatorial Random Knots
Andrew Ducharme, Emily Peters
We explore free knot diagrams, which are projections of knots into the plane which don't record over/under data at crossings. We consider the combinatorial question of which free k…