5 citations · 7 across the 5 of their papers we have counts for
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math.GT2006★ 5 cited
On tunnel number one knots that are not (1,n)
Jesse Johnson, Abigail Thompson
We show that the bridge number of a bridge knot in with respect to an unknotted genus surface is bounded below by a function of the distance of the Heegaard splitting…
math.GT2006
Knots and k-width
Joel Hass, J. Hyam Rubinstein, Abigail Thompson
We investigate several integer invariants of curves in 3-space. We demonstrate relationships of these invariants to crossing number and to total curvature.