The rank of a warping matrix

Autor: Akiyama, Taira, Shimizu, Ayaka, Watanabe, Ryohei
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: The warping matrix has been defined for knot projections and knot diagrams by using warping degrees. In particular, the warping matrix of a knot diagram represents the knot diagram uniquely. In this paper we show that the rank of the warping matrix is one greater than the crossing number. We also discuss the linearly independence of knot diagrams by considering the warping incidence matrix.
Comment: 13 pages, 4 figures
Databáze: arXiv