Generalized Baumslag-Solitar Graphs with Soluble Fundamental Groups
Alberto L. Delgado, Derek J. S. Robinson, Mathew Timm · Algebra Colloquium · 2014
It is shown that the generalized Baumslag-Solitar graphs which have soluble fundamental groups can be constructed from four simple types of graph by a process of decoration. The method of proof is elementary and employs the operations of pinching and contracting edges of graphs.