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Generating the Cycle Space of Planar Graphs

Matthias Hamann

Source record

Source: Crossref

Published: May 22, 2015

DOI: 10.37236/4924

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Source abstract

We prove that the cycle space of every planar finitely separable 3-connected graph GG is generated by some Aut⁡(G)\operatorname{Aut}(G)-invariant nested set of cycles. We also discuss the situation in the case of smaller connectivity.

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Generating the Cycle Space of Planar Graphs — Mathematical Frontier Network