Graphs are common mathematical structures which are visual and intuitive. They constitute a natural and seamless way for system modeling in several areas of science including computer science, life sciences, business processes, etc. Graph computation models (GCM) constitute a class of very high level models where graphs are first-class citizens. They, thus, generalize classical computation models based on strings (e.g., Chomsky's grammars) or on trees (e.g., Term rewrite systems). Their mathematical foundations, in addition to their visual feature, contribute to facilitate specification, validation and analysis of complex systems. A variety of computation models have been developed yet using graphs and rule-based graph transformations. These models include features for programming languages and systems, paradigms for software development, concurrent calculi, local computations and distributed algorithms, biological or chemical computations, etc. The aim of the GCM workshop series is to bring together researchers interested in all aspects of computation models based on graphs and graph transformation techniques, as well as their applications and implementations.