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- Title
Duality of Ends.
- Authors
BRUHN, HENNING; STEIN, MAYA
- Abstract
We investigate the end spaces of infinite dual graphs. We show that there exists a natural homeomorphism * between the end spaces of a graph and its dual, and that * preserves the 'end degree'. In particular, * maps thick ends to thick ends. Along the way, we prove that Tutte-connectivity is invariant under taking (infinite) duals.
- Subjects
DUALITY (Logic); GRAPH theory; HOMEOMORPHISMS; MANIFOLDS (Mathematics); TOPOLOGICAL spaces
- Publication
Combinatorics, Probability & Computing, 2010, Vol 19, Issue 1, p47
- ISSN
0963-5483
- Publication type
Article
- DOI
10.1017/S0963548309990320