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We give a characterization of 3-connected graphs which are planar and forbidcube, octahedron, and $H$ minors, where $H$ is the graph which is one$\Delta-Y$ away from each of the cube and the octahedron. Next we say a graphis Feynman 5-split if no choice of edge ordering gives an obstruction toparametric Feynman integration at the fifth step. The 3-connected Feynman5-split graphs turn out to be precisely those characterized above. Finally wederive the full list of forbidden minors for Feynman 5-split graphs of anyconnectivity.

Forbidden minors for graphs with no first obstruction to parametric Feynman integration