English

Note on the Irreducible Triangulations of the Klein Bottle

Combinatorics 2015-09-16 v2

Abstract

We give the complete list of the 29 irreducible triangulations of the Klein bottle. We show how the construction of Lawrencenko and Negami, which listed only 25 such irreducible triangulations, can be modified at two points to produce the 4 additional irreducible triangulations of the Klein bottle.

Keywords

Cite

@article{arxiv.math/0407008,
  title  = {Note on the Irreducible Triangulations of the Klein Bottle},
  author = {Thom Sulanke},
  journal= {arXiv preprint arXiv:math/0407008},
  year   = {2015}
}

Comments

10 pages, 8 figures, submitted to Journal of Combinatorial Theory, Series B. Section 3 expanded