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The first part (page 1 - 7) of this article presents the currently knownexamples of 4-regular matchstick graphs with 63 - 70 vertices. The second part(page 8 - 15) presents the currently known examples of $(2;4)$-regularmatchstick graphs with less than 42 vertices which contain only two vertices ofdegree 2.

A catalog of 4-regular and (2;4)-regular matchstick graphs