Miwa Hayashi

most citedUnknotting number and number of Reidemeister moves needed for unlinking

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2011

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…

math.GT2010★ 4 cited

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…

math.GT2010

Minimal unknotting sequences of Reidemeister moves containing unmatched RII moves

Chuichiro Hayashi, Miwa Hayashi, Minori Sawada +1

Arnold introduced invariants $J^{+}$ , $J^{-}$ and $S t$ for generic planar curves. It is known that both $J^{+} /2 + S t$ and $J^{-} /2 + S t$ are invariants for generic spherical curves. App…