Quasi-isometries between non-locally-finite graphs and structure trees

Details Quasi-isometries between non-locally-finite graphs and structure trees Quasi-isometries between non-locally-finite graphs and structure trees

2000-10-04

arxiv.org/abs/math/0010043v1

Mathematics

Combinatorics

16 pages

Scientific paper

We prove several criteria for quasi-isometry between non-locally-finite
graphs and their structure trees. Results of M\"oller in \cite{moeller92ends2}
for locally finite and transitive graphs are generalized. We also give a
criterion which describes quasi-isometry by how edge-ends are split up by the
cuts of a structure tree.

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