1 citations · 1 across the 2 of their papers we have counts for
8 papers · 1 filter
Almost positive links have negative signature
Jozef H. Przytycki, Kouki Taniyama
We analyze properties of links which have diagrams with a small number of negative crossings. We show that if a nontrivial link has a diagram with all crossings positive except pos…
Circle immersions that can be divided into two arc embeddings
Kouki Taniyama
We give a complete characterization of a circle immersion that can be divided into two arc embeddings in terms of its chord diagram.
Braid presentation of spatial graphs
Ken Kanno, Kouki Taniyama
We define braid presentation of edge-oriented spatial graphs as a natural generalization of braid presentation of oriented links. We show that every spatial graph has a braid prese…
A Graph-Theoretic Approach to a Partial Order of Knots and Links
Toshiki Endo, Tomoko Itoh, Kouki Taniyama
We say that a link is an s-major of a link if any diagram of can be transformed into a diagram of by changing some crossings and smoothing some crossings. T…
Unknotting numbers of diagrams of a given nontrivial knot are unbounded
Kouki Taniyama
We show that for any nontrivial knot and any natural number there is a diagram of such that the unknotting number of is greater than or equal to . It is well…
Irreducibility of spatial graphs
Kouki Taniyama
A graph embedded in the 3-sphere is called irreducible if it is non-splittable and for any 2-sphere embedded in the 3-sphere that intersects the graph at one point the graph is con…