  This volume contains the post-proceedings of the Tenth International Workshop
on Graph Computation Models (GCM 2019: http://gcm2019.imag.fr). The workshop
was held in Eindhoven, The Netherlands, on July 17th, 2019, as part of STAF
2019 (Software Technologies: Applications and Foundations).
  Graphs are common mathematical structures that are visual and intuitive. They
constitute a natural and seamless way for system modelling in science,
engineering and beyond, including computer science, biology, business process
modelling, etc. Graph computation models constitute a class of very high-level
models where graphs are first-class citizens. The aim of the International GCM
Workshop series is to bring together researchers interested in all aspects of
computation models based on graphs and graph transformation. It promotes the
cross-fertilizing exchange of ideas and experiences among senior and young
researchers from the different communities interested in the foundations,
applications, and implementations of graph computation models and related
areas.
  These post-proceedings contain four selected papers from GCM2019 proceedings
and an invited presentation that gives an account of the very successful panel
discussion dedicated to the Analysis of Graph Transformation Systems, which
took place during the workshop and was animated by Reiko Heckel, Leen Lambers
and Maryam Ghaffari Saadat.
  All submissions were subject to careful refereeing. The topics of accepted
papers include theoretical aspects of graph transformation and parsing
techniques as well as an application to model-driven engineering.
