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math.GT2018
Alternating links have at most polynomially many Seifert surfaces of fixed genus
Joel Hass, Abigail Thompson, Anastasiia Tsvietkova
Let be a non-split prime alternating link with crossings. We show that for each fixed , the number of genus- Seifert surfaces for is bounded by an explicitly gi…
math.GT2018
NP-hard problems naturally arising in knot theory
Dale Koenig, Anastasiia Tsvietkova
We prove that certain problems naturally arising in knot theory are NP--hard or NP--complete. These are the problems of obtaining one diagram from another one of a link in a bounde…