16 citations · 22 across the 2 of their papers we have counts for
2 papers
math.CO2012★ 16 cited
There is no triangulation of the torus with vertex degrees 5, 6, ..., 6, 7 and related results: Geometric proofs for combinatorial theorems
Ivan Izmestiev, Robert B. Kusner, Günter Rote +2
There is no 5,7-triangulation of the torus, that is, no triangulation with exactly two exceptional vertices, of degree 5 and 7. Similarly, there is no 3,5-quadrangulation. The vert…
dg-ga1997★ 6 cited
On Distortion and Thickness of Knots
Robert B. Kusner, John M. Sullivan
What length of rope (of given diameter) is required to tie a particular knot? To answer this question, we define some new notions of thickness for a space curve, one based on Gromo…