The warping polynomial of a knot diagram
Geometric Topology
2011-12-12 v2
Abstract
We introduce the warping polynomial of an oriented knot diagram. In this paper, we characterize the warping polynomial, and define the span of a knot to be the minimal span of the warping polynomial for all diagrams of the knot. We show that the span of a knot is one if and only if it is non-trivial and alternating, and we give an inequality between the span and the dealternating number.
Cite
@article{arxiv.1109.5898,
title = {The warping polynomial of a knot diagram},
author = {Ayaka Shimizu},
journal= {arXiv preprint arXiv:1109.5898},
year = {2011}
}
Comments
21 pages, 18 figures