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On Infinite Cycles I

Combinatorica, no. 1 (2004): 69-89

Cited: 63|Views24
EI

Abstract

We adapt the cycle space of a finite graph to locally finite infinite graphs, using as infinite cycles the homeomorphic images of the unit circle S1 in the graph compactified by its ends. We prove that this cycle space consists of precisely the sets of edges that meet every finite cut evenly, and that the spanning trees whose fundamental ...More

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