MathDB3 problems
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The 2n diagrams attain the lower bound on trefoils
A minimal prime algebraic free knot diagram is a minimal free knot diagram representing a prime knot and arising from an algebraic tangle. A free knot is the family considered…
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Algebraic tangles have no more figure-eight than trefoil descendants
A resultant knot probability is the proportion of crossing assignments of a free knot diagram that produce a specified knot. An algebraic tangle is a tangle obtained through the al…
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Foil diagrams attain the upper bound on figure-eight descendants
A free foil diagram with crossings is a free knot diagram, and an algebraic free diagram is a free knot diagram arising from an algebraic tangle. Foil figure-eight upper-bound…