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Graph minors. XVII: Taming a vortex. (English) Zbl 1027.05088
Summary: The main result of this series serves to reduce several problems about general graphs to problems about graphs which can “almost” be drawn in surfaces of bounded genus. In applications of the theorem we usually need to encode such a nearly embedded graph as a hypergraph which can be drawn completely in the surface. The purpose of this paper is to show how to “tidy up” near-embeddings to facilitate the encoding procedure.

MSC:
05C83 Graph minors
05C10 Planar graphs; geometric and topological aspects of graph theory
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References:
[1] Robertson, N.; Seymour, P.D., Graph minors. X. obstructions to tree-decomposition, J. combin. theory ser. B, 52, 153-190, (1991) · Zbl 0764.05069
[2] N. Robertson, and, P. D. Seymour, Graph minors. XVI. Excluding a non-planar graph, submitted for publication. · Zbl 1023.05040
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