5 citations · 5 across the 5 of their papers we have counts for
8 papers · 1 filter
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…
Minimal coloring numbers on minimal diagrams of torus links
Kazuhiro Ichihara, Katsumi Ishikawa, Eri Matsudo
We determine the minimal number of colors for non-trivial -colorings on the standard minimal diagrams of -colorable torus links. Also included are complete…
Minimal coloring number on minimal diagrams for -colorable links
Kazuhiro Ichihara, Eri Matsudo
It was shown that any -colorable link has a diagram which admits a non-trivial -coloring with at most four colors. In this paper, we consider minimal number…