3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GT2023
Any link has a diagram with only triangles and quadrilaterals
Reiko Shinjo, Kokoro Tanaka
A link diagram can be considered as a -valent graph embedded in the -sphere and divides the sphere into complementary regions. In this paper, we show that any link has a diag…
math.GT2011
Exchange moves and braid representations of links
Reiko Shinjo, Alexander Stoimenow
We prove that under fairly general conditions an iterated exchange move gives infinitely many non-conjugate braids. As a consequence, every knot has infinitely many conjugacy class…
math.GT2008★ 3 cited
Complementary Regions of Knot and Link Diagrams
Colin Adams, Reiko Shinjo, Kokoro Tanaka
An increasing sequence of integers is said to be universal for knots and links if every knot and link has a projection to the sphere such that the number of edges of each complemen…