Author

Riccardo W. Maffucci

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Preprint Sep 2026

A note on generating polyhedra and quadrangulations

A polyhedron is a planar, $3$-connected graph. We iteratively construct all polyhedra (save for pyramids) from a unique starting graph, namely the square pyramid, via two graph transformations. This builds upon a previous construction, that starts from the full class of pyramids, and applies the same transformations. I...

Luisa Andreis, Riccardo W. Maffucci, Federico Polito · 0 citations

Preprint Jul 2026

Automorphism Groups in Extremal Families of Polyhedral Graphs

We study automorphism groups in five extremal families of polyhedral graphs. For every $n\ge14$, we prove that every minimum-order $3$-polytopal graph containing a vertex of each degree $3,4,\ldots,n$ is asymmetric. The proof uses an exact planar defect decomposition, a complete description of the high-degree tail, and...

Riccardo W. Maffucci, B. Miraftab · 0 citations