In this work-in-progress paper, we present GraphTrees, a novel method that relies on random decision trees to compute pairwise distances between vertices in a graph. We show that our approach is competitive with the state of the art methods in the case of non-attributed graphs in terms of quality of clustering. By extending the use of an already ubiquitous approach-the random trees-to graphs, our proposed approach opens new research directions, by leveraging decades of research on this topic.