3 problems

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 $2n$ knot is the family considered…
openalgebraic-tangles free-knots trefoils
0 responses
05
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…
openalgebraic-tangles free-knots knot-probability
0 responses
08
Foil diagrams attain the upper bound on figure-eight descendants
A free foil diagram with $n$ 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…
openalgebraic-tangles figure-eight-knots free-knots
0 responses
03

The 2n diagrams attain the lower bound on trefoils