Theoretical Advances -- Conditional Bigraphs -- Confluence up to Garbage -- Computing embeddings of directed bigraphs -- A Categorical Semantics for Guarded Petri Nets -- Unfolding Symbolic Attributed Graph Grammars -- Single Pushout Rewriting in Comprehensive Systems -- Initial Conflicts for Transformation Rules with Nested Application Conditions -- Patch Graph Rewriting -- Hypergraph basic categorial grammars -- Multilevel Typed Graph Transformations -- Application Domains -- Rewriting Theory for the Life Sciences: A Unifying Framework for CTMC Semantics -- Algebras for tree decomposable graphs -- Graph Parsing as Graph Transformation - Correctness of Predictive Top-Down Parsers -- Graph Consistency as a Graduated Property: Consistency-Sustaining and -Improving Graph Transformations -- Formal Verification of Invariants for Attributed Graph Transformation Systems Based on Nested Attributed Graph Conditions -- Optimistic and Pessimistic On-the- y Analysis for Metric Temporal Graph Logic -- Tool Presentations -- A Flexible and Easy-to-Use Library for the Rapid Development of Graph Tools in Java -- Multiscale graph grammars can generate Cayley graphs of groups and monoids -- The Glasgow Subgraph Solver: Using Constraint Programming to Tackle Hard Subgraph Isomorphism Problem Variants -- A Simulator for Probabilistic Timed Graph Transformation Systems with Complex Large-Scale Topologies.

This book constitutes the refereed proceedings of the 13th International Conference on Graph Transformation, ICGT 2020, in Bergen, Norway, in June 2020.* The 16 research papers and 4 tool paper presented in this book were carefully reviewed and selected from 40 submissions. One invited paper is also included. The papers deal with the following topics: theoretical advances; application domains; and tool presentations. *The conference was held virtually due to the COVID-19 pandemic.