Almost alternating knots with 12 crossings and Turaev genus

Abstract

Among non-alternating knots with $n\le 12$ crossings given in \cite{1} Turaev genus is not known for 191 knot. For 154 of them we show that they are almost alternating, so their Turaev genus is 1.

12 pages, 1 figure

References in corpus (2)

• The Jones polynomial and graphs on surfaces
• The dealternating number and the alternation number of a closed 3-braid