arXiv:math/0407008 Abstract

arXiv:math/0407008 [math.CO]Abstract References Reviews Resources

Note on the Irreducible Triangulations of the Klein Bottle

Published 2004-07-01, updated 2006-04-06Version 2

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.

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

Categories: math.CO

Subjects: 05C10

Keywords: klein bottle, additional irreducible triangulations, complete list, construction

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