Author

Riccardo W. Maffucci

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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