4 papers
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…
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…
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 ,…
Two-tone colorings and surjective dihedral representations for links
Kazuhiro Ichihara, Katsumi Ishikawa, Eri Matsudo +1
It is well-known that a knot is Fox -colorable for a prime if and only if the knot group admits a surjective homomorphism to the dihedral group of degree . However, this…