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math.CO2018
Characterising -connected sets in infinite graphs
J. Pascal Gollin, Karl Heuer
A -connected set in an infinite graph, where is an integer, is a set of vertices such that any two of its subsets of the same size can be connected by $\el…
math.CO2018
An analogue of Edmonds' Branching Theorem for infinite digraphs
J. Pascal Gollin, Karl Heuer
We extend Edmonds' Branching Theorem to locally finite infinite digraphs. As examples of Oxley or Aharoni and Thomassen show, this cannot be done using ordinary arborescences, whos…