6 citations · 13 across the 15 of their papers we have counts for
17 papers
Computing Chebyshev knot diagrams
P. -V Koseleff, D Pecker, Fabrice Rouillier +1
A Chebyshev curve has a parametrization of the form; \ ; , where are integers, is the Chebys…
The lexicographic degree of the first two-bridge knots
Erwan Brugallé, Pierre-Vincent Koseleff, Daniel Pecker
We study the degree of polynomial representations of knots. We give the lexicographic degree of all two-bridge knots with 11 or fewer crossings. First, we estimate the total degree…
Untangling trigonal diagrams
Erwan Brugallé, Pierre-Vincent Koseleff, Daniel Pecker
Let be a link of Conway's normal form , , or with $mn\textgreater{}0$, and let be a trigonal diagram of We show that it is possible to transfo…
On the lexicographic degree of two-bridge knots
Erwan Brugallé, Pierre-Vincent Koseleff, Daniel Pecker
We study the degree of polynomial representations of knots. We obtain the lexicographic degree for two-bridge torus knots and generalized twist knots. The proof uses the braid theo…
On Alexander-Conway polynomials of two-bridge links
Pierre-Vincent Koseleff, Daniel Pecker
We consider Conway polynomials of two-bridge links as Euler continuant polynomials. As a consequence, we obtain new and elementary proofs of classical Murasugi's 1958 alternating t…
Harmonic Knots
Pierre-Vincent Koseleff, Daniel Pecker
The harmonic knot is parametrized as where , and are pairwise coprime integers and is the degree Chebyshev polyn…