T-joins in infinite graphs

Attila Joó


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 $T$.

Bibtex entry:

AUTHOR = {Jo{\'o}, Attila},
TITLE = {T-joins in infinite graphs},
NOTE= {{\tt}},
INSTITUTION = {Egerv{\'a}ry Research Group, Budapest},
YEAR = {2016},
NUMBER = {TR-2016-07}

Last modification: 29.12.2020. Please email your comments to Tamás Király!