Slipknots found in random diagrams almost always.
problem The presence of slipknots in random diagrams.
method Developed knotoid diagrams to study slipknots in knot diagrams.
result Almost all knot diagrams are slipknotted.
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3 results for “slipknots”
Study shows protein folding rate linked to topological changes.
problem Understanding protein folding kinetics and topology.
method Gauss linking integral, torsion, and sequence-distant contacts.
result Protein topology shifts from right-handed to left-handed with decreasing folding rate, associated with more sequence-distant contacts.
Alternating knots follow a pattern theorem, making them rarer than previously thought.
problem Understanding the scarcity of alternating knots.
method Developed a pattern theorem for alternating knots and used it to prove a conjecture about their rarity.
result Alternating knots are rarer than previously believed.