This volume contains papers selected from the contributionsto the 4th International Workshop on Graph Grammars andTheir Application to Computer Science. It is intended toprovide a rich source of information on the stateof the artand newest trends to researchers active in the area and forscientists who would like to know more about graph grammars. The topics of the papers range from foundations throughalgorithmic and implemental aspects to various issues thatarise in application areas like concurrent computing,functional and logic programming, software engineering,computer graphics, artificial intelligence and biology. Thecontributing authors are F. -J. Brandenburg, H. Bunke, T. C. Chen, M. Chytil, B. Courcelle, J. Engelfriet, H. G