2013/10/21 by Samson Black, Iain Crump, Black, Samson +5
Mathematics · Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #advanced mathematical theories #math.CO #msc:05C75 #msc:81T18
paper · pdf · doi:10.48550/arxiv.1310.5788
A few changes suggested by the referees. 55 pages. Code and output is included with the source
arxiv created 2014/10/02 · arxiv updated 2014/10/06
We give a characterization of 3-connected graphs which are planar and forbid cube, octahedron, and H minors, where H is the graph which is one Δ-Y away from each of the cube and the octahedron. Next we say a graph is Feynman 5-split if no choice of edge ordering gives an obstruction to parametric Feynman integration at the fifth step. The 3-connected Feynman 5-split graphs turn out to be precisely those characterized above. Finally we derive the full list of forbidden minors for Feynman 5-split graphs of any connectivity.