5 citations · 12 across the 4 of their papers we have counts for
4 papers · 1 filter
Knots Connected by Wide Ribbons
Susan C. Brooks, Oguz Durumeric, Jonathan Simon
A ribbon is, intuitively, a smooth mapping of an annulus in 3-space having constant width . This can be formalized as a triple $(x,\varepsilon, \mathbf{…
Local Structure of Ideal Shapes of Knots, II, Constant Curvature Case
Oguz C. Durumeric
The thickness, NIR(K) of a knot or link K is defined to be the radius of the largest solid tube one can put around the curve without any self intersections, which is also known as…
Nonuniform Thickness and Weighted Distance
Oguz C. Durumeric
Nonuniform tubular neighborhoods of curves in Euclidean n-space are studied by using weighted distance functions and generalizing the normal exponential map. Different notions of i…
Local Structure of Ideal Shapes of Knots
O. C. Durumeric
Relatively extremal knots are the relative minima of the ropelength functional in C^1 topology. On the set curves of fixed length, they are the relative maxima of thickness (normal…