14 citations · 39 across the 27 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.CO2026
A note on generating polyhedra and quadrangulations
Luisa Andreis, Riccardo W. Maffucci, Federico Polito
A polyhedron is a planar, -connected graph. We iteratively construct all polyhedra (save for pyramids) from a unique starting graph, namely the square pyramid, via two graph tra…
math.CO2026
Automorphism Groups in Extremal Families of Polyhedral Graphs
Riccardo W. Maffucci, Bobby Miraftab
We study automorphism groups in five extremal families of polyhedral graphs. For every , we prove that every minimum-order -polytopal graph containing a vertex of each d…
math.CO2026
The Facial Common Neighbourhood Graph
Riccardo W. Maffucci
Given a polyhedron (planar, -connected graph) , we investigate its common neighbourhood graph con(). For cubic (-regular) polyhedra, we show that the planarity of con($…