Name
Abstract | ||
|---|---|---|
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 characterize the graphs for which the two coincide. We construct a new singular-type homology for non-compact spaces with ends, which in dimension 1 captures precisely the topological cycle space of graphs but works in any dimension. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s00493-010-2481-7 | Combinatorica |
Keywords | Field | DocType |
canonical quotient,freudenthal compactification,singular homology group,topological cycle space,new singular-type homology,non-compact space,finite graph,compact space | Locally finite collection,Singular homology,Combinatorics,Relative homology,Cellular homology,CW complex,Topological graph theory,Mathematics,Moore space (algebraic topology),End | Journal |
Volume | Issue | ISSN |
30 | 6 | 0209-9683 |
Citations | PageRank | References |
5 | 0.50 | 13 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Reinhard Diestel | 1 | 452 | 68.24 |
| Philipp Sprüssel | 2 | 46 | 8.52 |