512 citations
- Argonne National LaboratoryUS10 papers
- Iowa State UniversityUS10 papers
- McGill UniversityCA10 papers
- University of California, BerkeleyUS10 papers
- CEA Paris-SaclayFR9 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR9 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- Fermi National Accelerator LaboratoryUS8 papers
- Université Paris CitéFR8 papers
- University of California, Los AngelesUS8 papers
- University of California, Santa BarbaraUS8 papers
- University of Massachusetts AmherstUS8 papers
Showing math.GTShow all
3 papers · 1 filter
math.GT2004
On Finite Racks and Quandles
Pedro Lopes, Dennis Roseman
We revisit finite racks and quandles using a perspective based on permutations which can aid in the understanding of the structure. As a consequence we recover old results and prov…
math.GT2003
Total Curvature and Packing of Knots
Gregory Buck, Jonathan Simon
We establish a new fundamental relationship between total curvature of knots and crossing number. If K is a smooth knot in 3-space, R the cross-section radius of a uniform tube nei…
math.GT2003★ 1 cited
Polygonal approximation and energy of smooth knots
Eric J. Rawdon, Jonathan K. Simon
We establish a fundamental connection between smooth and polygonal knot energies, showing that the Minimum Distance Energy for polygons inscribed in a smooth knot converges to the…