4 papers
Periodic colorings and orientations in infinite graphs
Tara Abrishami, Louis Esperet, Ugo Giocanti +3
We study the existence of periodic colorings and orientations in locally finite graphs. A coloring or orientation of a graph is periodic if the resulting colored or oriented gr…
Cayley--Abels graphs and invariants of totally disconnected, locally compact groups
Arnbjörg Soffía Árnadóttir, Waltraud Lederle, Rögnvaldur G. Möller
A connected, locally finite graph is a Cayley--Abels graph for a totally disconnected, locally compact group if acts vertex-transitively with compact, open vertex stabi…
Normal subgroups of groups acting on trees and automorphism groups of graphs
Rögnvaldur G. Möller, Jan Vonk
Let be a tree and an edge in . If is a component of and both and its complement are infinite we say that is a half-tree. The main result of th…
Locally-finite connected-homogeneous digraphs
Robert Gray, Rognvaldur G. Moller
A digraph is connected-homogeneous if any isomorphism between finite connected induced subdigraphs extends to an automorphism of the digraph. We consider locally-finite connected-h…