A graph is a forbidden minor if its presence as a graph minor of a given graph means it is not a member of some family of graphs. More generally, there may be a family of minors whose presence characterizes if a given graph has some property. For example, a planar graph is a graph that does not contain the complete graph K_5 or utility graph K_(3, 3) as a graph minor. The following table summarizes some simple graph families which have forbidden minor obstructions.
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