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Graph minors. XI: Circuits on a surface. (English) Zbl 0799.05016
This paper provides preliminary work to be applied towards proving a theorem on graphs with the exclusion of a fixed minor. One component of this proof involves graphs drawn on a surface. The lemmas of the current paper enable the authors to treat the case where the surface is a sphere in the same manner as the case of higher genus.
The main tool is the tangle, defined in earlier papers by the authors.
Reviewer: M.Marx (Pensacola)

MSC:
05C10 Planar graphs; geometric and topological aspects of graph theory
05C65 Hypergraphs
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