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- W2034794614 abstract "We characterize the graphs that admit a decomposition into circuits, i.e. finite or infinite connected 2-regular graphs. Moreover, we show that, as is the case for the removal of a closed eulerian subgraph from a finite graph, removal of a non-dominated eulerian subgraph from a (finite or infinite) graph does not change its circuit-decomposability or circuit-indecomposability. For cycle-decomposable graphs, we show that in any end which contains at least n + 1 pairwise edge-disjoint rays, there are n edge-disjoint rays that can be removed from the graph without altering its cycle-decomposability. We also generalize the notion of the parity of the degree of a vertex to vertices of infinite degree, and in this way extend the well-known result that eulerian finite graphs are circuit-decomposable to graphs of arbitrary cardinality." @default.
- W2034794614 created "2016-06-24" @default.
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- W2034794614 date "2005-07-01" @default.
- W2034794614 modified "2023-09-29" @default.
- W2034794614 title "Decompositions of infinite graphs: Part II circuit decompositions" @default.
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- W2034794614 doi "https://doi.org/10.1016/j.jctb.2005.01.004" @default.
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