4 papers
Hypercube drawings with no long plane paths
Todor AntiÄ, Niloufar Fuladi, Anna Margarethe Limbach +1
We study the existence of plane substructures in drawings of the -dimensional hypercube graph . We construct drawings of which contain no plane subgraph with more tha…
Degenerate crossing number and signed reversal distance
Niloufar Fuladi, Alfredo Hubard, Arnaud de Mesmay
Given a graph drawn in the plane, the degenerate crossing number of the drawing is the number of points in the plane which are contained in the relative interior of at least two ed…
Triangulated spheres with holes in triangulated surfaces
Katie Clinch, Sean Dewar, Niloufar Fuladi +6
Let denote a sphere with holes. Given a triangulation of a surface , we consider the question of when contains a spanning subgraph such t…
Computing shortest closed curves on non-orientable surfaces
Denys Bulavka, Ãric Colin de Verdière, Niloufar Fuladi
We initiate the study of computing shortest non-separating simple closed curves with some given topological properties on non-orientable surfaces. While, for orientable surfaces, a…