NP-hard problems naturally arising in knot theory

Published 27 Sep 2018 in math.GT | (1809.10334v3)

Abstract: 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 bounded number of Reidemeister moves, determining whether a link has an unlinking or splitting number $k$, finding a $k$-component unlink as a sublink, and finding a $k$-component alternating sublink.

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