Dynkin Graphs, Gabri\'{e}lov Graphs and Triangle Singularities
  Fourteen kinds of triangle singularities with modality one in Arnold's classification list are discussed. We consider which kinds of combinations of rational double points can appear on small deformation fibers of the singularities. We show that possible combinations of rational double points can be described by a unique principle from the view point of Dynkin graphs. 
Tohsuke Urabe (Department of Mathematics, Tokyo Metropolitan   University, Japan)