A variety of computation models have been developed using graphs and graph transformations. These include models for sequential, distributed, parallel or mobile computation. A graph may represent, in act way, the underlying structure of a computer system, or it may stand for the computation steps running on such a system. In the former, the computation can be carried on the corresponding graph, implying a simplification of the complexity of the system. The aim of the workshop is to bring together researchers interested in all aspects of computation models based on graphs, and their applications. A particular emphasis will be made for models and tools describing general solutions. 1 Graph computation models There are a lot computation models based on graphs, and their applications. The computation models include mobile computing, programming, data transformations, concurrent and distributed computing. In the following, we will sketch some of these graph computation models.