We define smooth notions of concordance and sliceness for spatial graphs. We prove that sliceness of a spatial graph is equivalent to a condition on a set of linking numbers together with sliceness of a link associated to the graph. This generalizes the result of Taniyama for $\theta$-curves.
Milnor Invariants for Spatial Graphs
Coloring invariants of spatial graphs
Surfaces in 4-manifolds: Concordance, Isotopy, and Surgery
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