5 papers
A class of digraph groups defined by balanced presentations
Johannes Cuno, Gerald Williams
We consider groups defined by non-empty balanced presentations with the property that each relator is of the form R(x,y), where x and y are distinct generators and R(.,.) is determ…
Random walks on Baumslag-Solitar groups
Johannes Cuno, Ecaterina Sava-Huss
We consider random walks on non-amenable Baumslag-Solitar groups BS(p,q) and describe their Poisson-Furstenberg boundary. The latter is a probabilistic model for the long-time beha…
The Cartesian product of graphs with loops
Tetiana Boiko, Johannes Cuno, Wilfried Imrich +2
We extend the definition of the Cartesian product to graphs with loops and show that the Sabidussi-Vizing unique factorization theorem for connected finite simple graphs still hold…
The Tits alternative for non-spherical triangles of groups
Johannes Cuno, Jörg Lehnert
Triangles of groups have been introduced by Gersten and Stallings. They are, roughly speaking, a generalisation of the amalgamated free product of two groups and occur in the frame…
Distinguishing graphs with infinite motion and nonlinear growth
Johannes Cuno, Wilfried Imrich, Florian Lehner
The distinguishing number of a graph is the least cardinal such that has a labeling with labels which is only preserved by the trivial automorp…