2015/08/30 by Filipe Bento, Bento, Filipe, Pedro Lopes +1
Mathematics · #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M27
paper · pdf · doi:10.48550/arxiv.1508.07559
35 pages, 37 figures
arxiv created 2015/10/04 · arxiv updated 2015/10/06
In this article we show that if a knot diagram admits a non-trivial coloring modulo 13 then there is an equivalent diagram which can be colored with 5 colors. Leaning on known results, this implies that the minimum number of colors modulo 13 is 5.