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arXiv · 1604.07134

New minimal (4; n)-regular matchstick graphs

Mike Winkler·Peter Dinkelacker·Stefan Vogel
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Abstract

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 ($m;n)$-regular if every vertex has only degree $m$ or $n$. In this article the authors present the latest known $(4;n)$-regular matchstick graphs for $4\leq n\leq11$ with a minimum number of vertices.

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Mike Winkler, Peter Dinkelacker, Stefan Vogel. 2018-05-01. New minimal (4; n)-regular matchstick graphs. https://arxiv.org/abs/1604.07134

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