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    Spanning forest polynomials and the transcendental weight of Feynman graphs

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    We give combinatorial criteria for predicting the transcendental weight of Feynman integrals of certain graphs in Ï•4\phi^4 theory. By studying spanning forest polynomials, we obtain operations on graphs which are weight-preserving, and a list of subgraphs which induce a drop in the transcendental weight.Comment: 30 page
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