Geodesic
Cubic graphs have bounded slope parameter
Journal of Graph Algorithms and Applications, Special Issue on Selected Papers from the Sixteenth International Symposium on Graph Drawing, GD 2008 , Tome 14 (2010) no. 1, pp. 5-17.

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We show that every finite connected graph G with maximum degree three and with at least one vertex of degree smaller than three has a straight-line drawing in the plane satisfying the following conditions. No three vertices are collinear, and a pair of vertices form an edge in G if and only if the segment connecting them is parallel to one of the sides of a previously fixed regular pentagon. It is also proved that every finite graph with maximum degree three permits a straight-line drawing with the above properties using at most seven different edge slopes. 
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     author = {Bal\'azs Keszegh and J\'anos Pach and D\"om\"ot\"or P\'alv\"olgyi and G\'eza T\'oth},
     title = {Cubic graphs have bounded slope parameter},
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Balázs Keszegh; János Pach; Dömötör Pálvölgyi; Géza Tóth. Cubic graphs have bounded slope parameter. Journal of Graph Algorithms and Applications, 
							Special Issue on Selected Papers from the Sixteenth International Symposium on Graph Drawing, GD 2008
					, Tome 14 (2010) no. 1, pp. 5-17. doi : 10.7155/jgaa.00196. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00196/

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