A combinatorial algorithm for visualizing representatives with minimal self-intersection
Geometric Topology
2011-02-01 v1
Abstract
Given an orientable surface with boundary and a free homotopy class, we present a purely combinatorial algorithm which produces a representative of that homotopy class with minimal self intersection.
Cite
@article{arxiv.1101.5658,
title = {A combinatorial algorithm for visualizing representatives with minimal self-intersection},
author = {Chris Arettines},
journal= {arXiv preprint arXiv:1101.5658},
year = {2011}
}
Comments
14 pages, 11 figures. The algorithm described in the paper is implemented at http://www.math.sunysb.edu/~moira/applets/chrisApplet.html