1 citations · 1 across the 2 of their papers we have counts for
5 papers
Positive links with arrangements of pseudocircles as shadows
Carolina Medina, Santino Ramirez, Jorge L. Ramirez-Alfonsin +1
An arrangement of pseudocircles is a collection of Jordan curves in the plane that pairwise intersect (transversally) at exactly two points. How many non-equivalent l…
When can a link be obtained from another using crossing exchanges and smoothings?
Carolina Medina, Gelasio Salazar
Let be a fixed link. Given a link diagram , is there a sequence of crossing exchanges and smoothings on that yields a diagram of ? We approach this problem from the c…
The knots that lie above all shadows
Carolina Medina, Gelasio Salazar
We show that for each even integer , every reduced shadow with sufficiently many crossings is a shadow of a torus knot T(2,m+1), or of a twist knot , or of a connected…
The unavoidable arrangements of pseudocircles
Carolina Medina, Jorge Ramírez-Alfonsín, Gelasio Salazar
It is known that cyclic arrangements are the only {\em unavoidable} simple arrangements of pseudolines: for each fixed , every sufficiently large simple arrangement of pseu…
On the number of unknot diagrams
Carolina Medina, Jorge Ramírez-Alfonsín, Gelasio Salazar
Let be a knot diagram, and let denote the set of diagrams that can be obtained from by crossing exchanges. If has crossings, then cons…