2 papers
math.CO2026
Curious crossing-critical edges
Éva Czabarka, Alec Helm
Motivated by Kuratowski's theorem, a Kuratowski subgraph of a graph is a subgraph that is a subdivided or a subdivided . An edge is crossing-critical if the crossing…
math.CO2025
Tanglegrams with a Unique 1-Crossing-Critical Subtanglegram have Tangle Crossing Number 1
Éva Czabarka, Alec Helm, László Székely
A tanglegram of size n is a graph formed from two rooted binary trees with n leaves each and a perfect matching between their leaf sets. Tanglegrams are used to model co-evolution…