12 citations · 34 across the 21 of their papers we have counts for
4 papers · 1 filter
A representation theorem for end spaces of infinite graphs
Jan Kurkofka, Max Pitz
End-spaces of infinite graphs naturally generalise the Freudenthal boundary and sit at the interface between graph theory, geometric group theory and topology. Our main result is t…
The Lovász-Cherkassky theorem for locally finite graphs with ends
Raphael W. Jacobs, Attila Joó, Paul Knappe +2
Lovász and Cherkassky discovered independently that, if is a finite graph and such that the degree is even for every vertex , t…
A strengthening of Halin's grid theorem
Jan Kurkofka, Ruben Melcher, Max Pitz
We show that for every infinite collection of disjoint equivalent rays in a graph there is a subdivision of the hexagonal half-grid in such that all its verti…
Countably determined ends and graphs
Jan Kurkofka, Ruben Melcher
The directions of an infinite graph are a tangle-like description of its ends: they are choice functions that choose compatibly for all finite vertex sets a c…