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arXiv · 1911.05135

A note on nearly Platonic graphs with connectivity one

D. Froncek·M. R. Khorsandi·S. R. Musawi·J. Qiu
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Abstract

A k-regular planar graph G is nearly Platonic when all faces but one are of the same degree while the remaining face is of a different degree. We show that no such graphs with connectivity one can exist. This complements a recent result by Keith, Froncek, and Kreher on non-existence of 2-connected nearly Platonic graphs.

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D. Froncek, M. R. Khorsandi, S. R. Musawi, J. Qiu. 2020-06-11. A note on nearly Platonic graphs with connectivity one. https://arxiv.org/abs/1911.05135

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