3 papers
math.GT2026
The minimum number of Dehn -colors of any nonsplittable -colorable link is three
Eri Matsudo, Kanako Oshiro
Our previous papers [8, 9] are the first and second to discuss minimum numbers of ``region'' colors, while minimum numbers of arc colors such as Fox colors are well-studied. As the…
math.GT2025
Minimum numbers of Dehn colors of knots and symmetric local biquandle cocycle invariants
Eri Matsudo, Kanako Oshiro, Gaishi Yamagishi
In this paper, we give a method to evaluate minimum numbers of Dehn colors for knots by using symmetric local biquandle cocycle invariants. We give answers to some questions arisin…
math.GT2025
Minimum numbers of Dehn colors of knots and -palette graphs
Eri Matsudo, Kanako Oshiro, Gaishi Yamagishi
In this paper, we consider minimum numbers of colors of knots for Dehn colorings. In particular, we will show that for any odd prime number and any Dehn -colorable knot ,…