3 papers
math.CO2025
The unavoidable drawings of complete multipartite graphs
Jozsef Balogh, Irene Parada, Gelasio Salazar
In a simple drawing of a graph every pair of edges intersect each other in at most one point, which is either a common endvertex or a proper crossing. For each positive integer …
math.CO2025
Thrackles on nonplanar surfaces
César Hernández-Vélez, Jan Kynčl, Gelasio Salazar
A thrackle is a drawing of a graph on a surface such that (i) adjacent edges only intersect at their common vertex; and (ii) nonadjacent edges intersect at exactly one point, at wh…
math.GT2023
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…