The homology of a locally finite graph with ends
نویسندگان
چکیده
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.
منابع مشابه
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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 one captures precisely the topological cycle space of graphs but works in any ...
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ورودعنوان ژورنال:
- Combinatorica
دوره 30 شماره
صفحات -
تاریخ انتشار 2010