2 papers
math.CO2026
Duality and minors for embeddings of graphs in pseudosurfaces
Blake Dunshee, M. N. Ellingham, Joanna A. Ellis-Monaghan
Cellular embeddings of graphs in surfaces have well-defined duality and minor (edge contraction and deletion) operations that interact in a natural way. A pseudosurface is obtained…
math.CO2024
A Fano framework for embeddings of graphs in surfaces
Blake Dunshee, M. N. Ellingham
We consider seven fundamental properties of cellular embeddings of graphs in compact surfaces, and show that each property can be associated with a point of the Fano plane , in…