6 citations · 17 across the 14 of their papers we have counts for
14 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…
Realizing Exterior Cromwell moves on rectangular diagrams by Reidemeister moves
Tatsuo Ando, Chuichiro Hayashi, Yuki Nishikawa
If a rectangular diagram represents the trivial knot, then it can be deformed into the trivial rectangular diagram with only four edges by a finite sequence of merge operations and…
Unknotting rectangular diagrams of the trivial knot by exchanging moves
Chuichiro Hayashi, Sayaka Yamada
If a rectangular diagram represents the trivial knot, then it can be deformed into the rectangular diagram with only two vertical edges by a finite sequence of merge operations and…
Canonical forms for operation tables of finiate connected quandles
Chuichiro Hayashi
We introduce a notion of natural orderings of elements of finite connected quandles of order . When the elements of such a quandle are already ordered naturally, any automop…
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…