Eulerian edge sets in locally finite graphs |
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| Authors: | Eli Berger Henning Bruhn |
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| Institution: | 1. Mathematics Department Faculty of Science, University of Haifa, Mount Carmel, Haifa, 31905, Israel
2. ??quipe Combinatoire et Optimisation Case 189, Universit?? Pierre et Marie Curie, 4 place Jussieu, 75252, Paris Cedex 05, France
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| Abstract: | In a finite graph, an edge set Z is an element of the cycle space if and only if every vertex has even degree in Z. We extend this basic result to the topological cycle space, which allows infinite circuits, of locally finite graphs. In
order to do so, it becomes necessary to attribute a parity to the ends of the graph. |
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