Kouki Taniyama

collaborators

3 papers

math.GT2001

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…

math.GT2001

Local moves on spatial graphs and finite type invariants

Kouki Taniyama, Akira Yasuhara

We define $A_{k}$ -moves for embeddings of a finite graph into the 3-sphere for each natural number $k$ . Let $A_{k}$ -equivalence denote an equivalence relation generated by $A_{k}$ -moves…

math.GT2000

Band description of knots and Vassiliev invariants

Kouki Taniyama, Akira Yasuhara

In 1993 K. Habiro defined $C_{k}$ -move of oriented links and around 1994 he proved that two oriented knots are transformed into each other by $C_{k}$ -moves if and only if they have the…