MatchStickGraph 6.0

Free Minimal 1- and 2-regular matchstick graphs are known, as is a 4-regular graph, the Harborth graph
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The MatchStickGraph is a type of graph that consists of a single edge and an equilateral triangle as its minimal 1- and 2-regular forms, respectively. The minimal known 4-regular MatchStickGraph is called the Harborth Graph, but it is yet to be proven optimal. Mathematica implements MatchStickGraphs as GraphData[%22Matchstick%22, n].

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