Triangulations with homogeneous zigzags
Combinatorics
2019-03-01 v1
Abstract
We investigate zigzags in triangulations of connected closed -dimensional surfaces and show that there is a one-to-one correspondence between triangulations with homogeneous zigzags and closed -cell embeddings of directed Eulerian graphs in surfaces. A triangulation is called -knotted if it has a single zigzag. We construct a family of tree structured -knotted spherical triangulations whose zigzags are homogeneous.
Cite
@article{arxiv.1902.10788,
title = {Triangulations with homogeneous zigzags},
author = {Mariusz Kwiatkowski and Mark Pankov and Adam Tyc},
journal= {arXiv preprint arXiv:1902.10788},
year = {2019}
}