2018/02/21 by Franck Ramaharo, Ramaharo, Franck · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Combinatorial Mathematics #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #math.CO #msc:05A19 #msc:57M25
paper · pdf · doi:10.48550/arxiv.1802.07701
37 pages, 27 figures, 20 tables; added new OEIS entries, closed form for the generating polynomials
arxiv created 2018/06/06 · arxiv updated 2018/06/08
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.