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math.CO2014
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…
math.GR2014
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…