This book constitutes the refereed proceedings of the Third International Conference on Graph Transformations, ICGT 2006, held in Rio Grande do Norte, Brazil in September 2006.

The 28 revised full papers presented together with 3 invited lectures were carefully selected from 62 submissions. All current aspects in graph drawing are addressed including graph theory and graph algorithms, theoretic and semantic aspects, modeling, contributions to software engineering and global computing, applications to biology, and tool issues. The papers are organized in topical sections on new graph transformation models, structure manipulation, borrowed contexts and adhesive categories, extensions for distributed and global computing, software engineering methods and tools, model-driven development, efficient implementation, and logics. In addition the volume contains a short description of a tutorial on foundations and applications of graph transformations, and short presentations of the satellite events of ICGT 2006.