A spatial Kₙ-graph is an embedding of a complete graph Kₙ with n vertices in a 3-sphere S³. Knots in a spatial Kₙ-graph corresponding to cycles of Kₙ are called constituent knots. We consider the case n=4. The boundary of the orientable band surface constructed from a spatial K₄-graph and having the zero Seifert form is a 4-component link, which is referred to as the associated link. We obtain formulae relating the normalized Yamada and Jaeger polynomials of spatial K₄-graphs, their -subgraphs and cyclic subgraphs with the Jones polynomials of constituent knots and related links. Bibliography: 25 titles.
Vesnin et al. (Wed,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: