Generating the cycle space of planar graphs
The electronic journal of combinatorics, Tome 22 (2015) no. 2
We prove that the cycle space of every planar finitely separable 3-connected graph $G$ is generated by some $\operatorname{Aut}(G)$-invariant nested set of cycles. We also discuss the situation in the case of smaller connectivity.
DOI :
10.37236/4924
Classification :
05C63, 05C38
Mots-clés : graph theory, planar graphs, cycle space
Mots-clés : graph theory, planar graphs, cycle space
Affiliations des auteurs :
Matthias Hamann  1
@article{10_37236_4924,
author = {Matthias Hamann},
title = {Generating the cycle space of planar graphs},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {2},
doi = {10.37236/4924},
zbl = {1328.05133},
url = {http://geodesic.mathdoc.fr/articles/10.37236/4924/}
}
Matthias Hamann. Generating the cycle space of planar graphs. The electronic journal of combinatorics, Tome 22 (2015) no. 2. doi: 10.37236/4924
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