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math.MG2019
4-regular planar unit triangle graphs without additional triangles
Mike Winkler, Peter Dinkelacker, Stefan Vogel
In this article we proof the existence of 4-regular planar unit-distance graphs consisting only of unit triangles without additional triangles. It is shown that the smallest number…
math.MG2016★ 2 cited
New minimal (4; n)-regular matchstick graphs
Mike Winkler, Peter Dinkelacker, Stefan Vogel
A matchstick graph is a graph drawn with straight edges in the plane such that the edges have unit length, and non-adjacent edges do not intersect. We call a matchstick graph ($m;n…