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Cutting up graphs revisited - a short proof of Stallings' structure theorem by Krön, Bernhard is a scholarly article available to read on EtoBox.

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This is a new and short proof of the main theorem of classical structure tree theory. Namely, we show the existence of certain automorphism-invariant tree-decompositions of graphs based on the principle of removing finitely many edges. This was first done in "Cutting up graphs" by M.J. Dunwoody. The main ideas are based on the paper "Vertex cuts" by M.J. Dunwoody and the author. We extend the theorem to a detailed combinatorial proof of J.R. Stallings' theorem on the structure of finitely generated groups with more than one end.

Author

Krön, Bernhard

Published

2010

Language

EN