Drawing cubic graphs with the four basic slopes

Details Drawing cubic graphs with the four basic slopes Drawing cubic graphs with the four basic slopes

2011-06-10

arxiv.org/abs/1106.1973v2

Mathematics

Combinatorics

Scientific paper

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

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