English

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

Combinatorics 2021-10-14 v4 Metric Geometry

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)(2;4)-regular matchstick graphs with less than 42 vertices which contain only two vertices of degree 2.

Keywords

Cite

@article{arxiv.1705.04715,
  title  = {A catalog of 4-regular and (2;4)-regular matchstick graphs},
  author = {Mike Winkler},
  journal= {arXiv preprint arXiv:1705.04715},
  year   = {2021}
}

Comments

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