This paper contains a first step towards extending the Graph Minors Project of Robertson and Seymour to group-labelled graphs. For a finite abelian group Γ and Γ-labelled graph G, we describe the class of Γ-labelled graphs that do not contain a minor isomorphic to G.

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Academic Press
Journal of Combinatorial Theory - Series B
Matroid Structure for Efficiency
Probability, Networks and Algorithms

Geelen, J, & Gerards, A.M.H. (2009). Excluding a group-labelled graph. Journal of Combinatorial Theory - Series B, 99(1), 247–253.