\(T\)-joins in infinite graphs
The electronic journal of combinatorics, Tome 24 (2017) no. 3
We characterize the class of infinite graphs $G$ for which there exists a $T$-join for any choice of an infinite $T \subseteq V(G)$. We also show that the following well-known fact remains true in the infinite case. If $G$ is connected and does not contain a $T$-join, then it will if we either remove an arbitrary vertex from $T$ or add any new vertex to $T$.
DOI :
10.37236/6308
Classification :
05C63, 05C38, 05C40, 05C70
Mots-clés : infinite graph, \(T\)-join
Mots-clés : infinite graph, \(T\)-join
Affiliations des auteurs :
Attila Joó  1
@article{10_37236_6308,
author = {Attila Jo\'o},
title = {\(T\)-joins in infinite graphs},
journal = {The electronic journal of combinatorics},
year = {2017},
volume = {24},
number = {3},
doi = {10.37236/6308},
zbl = {1367.05146},
url = {http://geodesic.mathdoc.fr/articles/10.37236/6308/}
}
Attila Joó. \(T\)-joins in infinite graphs. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6308
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