4 citations · 7 across the 6 of their papers we have counts for
6 papers
Rectangular Seifert circles and arcs system
Tatsuo Ando, Chuichiro Hayashi, Miwa Hayashi
Rectangular diagrams of links are link diagrams in the plane such that they are composed of vertical line segments and horizontal line segments and vertical segment…
On linear -colorings for knots
Chuichiro Hayashi, Miwa Hayashi, Kanako Oshiro
If a knot has the Alexander polynomial not equal to 1, then it is linear -colorable. By means of such a coloring, such a knot is given an upper bound for the minimal quandle ord…
Irregular smoothing and the number of Reidemeister moves
Chuichiro Hayashi, Miwa Hayashi
In the previous paper, we considered a link diagram invariant of Hass and Nowik type using regular smoothing and unknotting number, to estimate the number of Reidemeister moves nee…
Unknotting number and number of Reidemeister moves needed for unlinking
Chuichiro Hayashi, Miwa Hayashi
Using unknotting number, we introduce a link diagram invariant of Hass and Nowik type, which changes at most by 2 under a Reidemeister move. As an application, we show that a certa…
Minimal unknotting sequences of Reidemeister moves containing unmatched RII moves
Chuichiro Hayashi, Miwa Hayashi, Minori Sawada +1
Arnold introduced invariants , and for generic planar curves. It is known that both and are invariants for generic spherical curves. App…
The minimal sequence of Reidemister moves bringing the diagram of -torus knot to that of -torus knot
Chuichiro Hayashi, Miwa Hayashi
Let be the usual knot diagram of the -torus knot, that is, is the closure of the -braid . As is well-known, $D(p,…