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» The homology of a locally finite graph with ends
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COMBINATORICA
2010
12 years 12 months ago
The homology of a locally finite graph with ends
We show that the topological cycle space of a locally finite graph is a canonical quotient of the first singular homology group of its Freudenthal compactification, and we charact...
Reinhard Diestel, Philipp Sprüssel
COMBINATORICA
2004
127views more  COMBINATORICA 2004»
13 years 4 months ago
On Infinite Cycles I
We extend the basic theory concerning the cycle space of a finite graph to infinite locally finite graphs, using as infinite cycles the homeomorphic images of the unit circle in t...
Reinhard Diestel, Daniela Kühn
CPC
2006
132views more  CPC 2006»
13 years 5 months ago
Duality in Infinite Graphs
The adaption of combinatorial duality to infinite graphs has been hampered by the fact that while cuts (or cocycles) can be infinite, cycles are finite. We show that these obstruc...
Henning Bruhn, Reinhard Diestel