2 citations
5 papers
Gauss diagram formulas of Vassiliev invariants of spatial 2-bouquet graphs
Noboru Ito, Natsumi Oyamaguchi
We introduce new formulas that are Vassiliev invariants of flat vertex isotopy classes of spatial 2-bouquet graphs, which are equivalent to 2-string links. Although any Gauss diagr…
Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions
Kanako Oshiro, Natsumi Oyamaguchi
In this paper, we study Dehn colorings of spatial graph diagrams, and classify the vertex conditions, equivalently the palettes. We give some example of spatial graphs which can be…
Dehn colorings and vertex-weight invariants for spatial graphs
Kanako Oshiro, Natsumi Oyamaguchi
In this paper, we study Dehn colorings for spatial graphs, and give a family of spatial graph invariants that are called vertex-weight invariants. We give some examples of spatial…
Local biquandles and Niebrzydowski's tribracket theory
Sam Nelson, Kanako Oshiro, Natsumi Oyamaguchi
We introduce a new algebraic structure called \textit{local biquandles} and show how colorings of oriented classical link diagrams and of broken surface diagrams are related to tri…
Trace Diagrams and Biquandle Brackets
Sam Nelson, Natsumi Oyamaguchi
We introduce a method of computing biquandle brackets of oriented knots and links using a type of decorated trivalent spatial graphs we call trace diagrams. We identify algebraic c…