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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…
Well-quasi-order of plane minors and an application to link diagrams
Carolina Medina, Bojan Mohar, Gelasio Salazar
A plane graph is a {\em plane minor} of a plane graph if there is a sequence of vertex and edge deletions, and edge contractions performed on the plane, that takes to $…
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…