Gauss diagram formulas of Vassiliev invariants of 2-bouquet graphs

We introduce new formulas that are Vassiliev invariants of flat vertex isotopy classes of 2-bouquet graphs. Although any Gauss diagram formula of Vassiliev invariants of 2-bouquet graphs in a 3-space has been unknown explicitly, this paper gives the first and simple example.

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Bibliographic Details
Published in:Topology and its applications 2021-03, Vol.290, p.107580, Article 107580
Main Authors: Ito, Noboru, Oyamaguchi, Natsumi
Format: Article
Language:English
Subjects:
Graph
Tangle
Vassiliev invariant
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Summary:We introduce new formulas that are Vassiliev invariants of flat vertex isotopy classes of 2-bouquet graphs. Although any Gauss diagram formula of Vassiliev invariants of 2-bouquet graphs in a 3-space has been unknown explicitly, this paper gives the first and simple example.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2020.107580