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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.CO2013
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…