The cycle space of a 3-connected locally finite graph is generated by its finite and infinite peripheral circuits
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Publication:705881
DOI10.1016/j.jctb.2004.03.005zbMath1055.05088OpenAlexW2114991574MaRDI QIDQ705881
Publication date: 16 February 2005
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jctb.2004.03.005
Related Items (18)
Peripheral circuits in infinite binary matroids ⋮ On the hamiltonicity of line graphs of locally finite, 6-edge-connected graphs ⋮ Graph-like continua, augmenting arcs, and Menger's theorem ⋮ On spanning tree packings of highly edge connected graphs ⋮ The fundamental group of a locally finite graph with ends ⋮ The homology of a locally finite graph with ends ⋮ Eulerian edge sets in locally finite graphs ⋮ Connected but not path-connected subspaces of infinite graphs ⋮ Embedding a graph-like continuum in a surface ⋮ Bases and closures under infinite sums ⋮ MacLane's planarity criterion for locally finite graphs ⋮ On the homology of locally compact spaces with ends ⋮ Locally finite graphs with ends: A topological approach. II: Applications ⋮ Graph-like spaces: an introduction ⋮ Locally finite graphs with ends: A topological approach. I: Basic theory ⋮ Graph topologies induced by edge lengths ⋮ Cycle spaces in topological spaces ⋮ Infinite Hamilton cycles in squares of locally finite graphs
Cites Work
- On infinite cycles. I, II
- Planarity and duality of finite and infinite graphs
- Topological paths, cycles and spanning trees in infinite graphs
- 3-connected planar spaces uniquely embed in the sphere
- Graphs embedded in the plane with a bounded number of accumulation points
- The Cycle Space of an Infinite Graph
- How to Draw a Graph
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