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arXiv · 1106.1973

Drawing cubic graphs with the four basic slopes

Padmini Mukkamala·Dömötör Pálvölgyi
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Abstract

We show that every cubic graph can be drawn in the plane with straight-line edges using only the four basic slopes $\{0,π/4,π/2,3π/4\}$. We also prove that four slopes have this property if and only if we can draw $K_4$ with them.

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Padmini Mukkamala, Dömötör Pálvölgyi. 2011-06-16. Drawing cubic graphs with the four basic slopes. https://arxiv.org/abs/1106.1973

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