Statistics on some classes of knot shadows
Combinatorics
2018-06-08 v2
Abstract
The present paper is concerned with the enumeration of the state diagrams for some classes of knot shadows endowed with the usual connected sum operation. We focus on shadows that are recursively generated by knot shadows with up to 3 crossings, and for which the enumeration problem is solved with the help of generating polynomials.
Keywords
Cite
@article{arxiv.1802.07701,
title = {Statistics on some classes of knot shadows},
author = {Franck Ramaharo},
journal= {arXiv preprint arXiv:1802.07701},
year = {2018}
}
Comments
37 pages, 27 figures, 20 tables; added new OEIS entries, closed form for the generating polynomials