$Z$-knotted and $Z$-homogeneous triangulations of surfaces
Combinatorics
2020-08-20 v1
Abstract
A triangulation is called -knotted if it has a single zigzag (up to reversing). A -orientation on a triangulation is a minimal collection of zigzags which double covers the set of edges. An edge is of type I if zigzags from the -orientation pass through it in different directions, otherwise this edge is of type II. If all zigzags from the -orientation contain precisely two edges of type I after any edge of type II, then the -oriented triangulation is said to be -homogeneous. We describe an algorithm transferring each -homogeneous trianguation to other -homogeneous triangulation which is also -knotted.
Keywords
Cite
@article{arxiv.2008.08126,
title = {$Z$-knotted and $Z$-homogeneous triangulations of surfaces},
author = {Adam Tyc},
journal= {arXiv preprint arXiv:2008.08126},
year = {2020}
}