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

Abstract

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

arXiv comment15 pages, 23 figures, 2 tables, 40 4-regular matchstick graphs and 66 (2;4)-regular matchstick graphs