  Graph databases are emerging as the leading data management technology for
storing large knowledge graphs; significant efforts are ongoing to produce new
standards (such as the Graph Query Language, GQL), as well as enrich them with
properties, types, schemas, and keys. In this article, we introduce
PG-Triggers, a complete proposal for adding triggers to Property Graphs, along
the direction marked by the SQL3 Standard. We define the syntax and semantics
of PG-Triggers and then illustrate how they can be implemented on top of Neo4j,
one of the most popular graph databases. In particular, we introduce a
syntax-directed translation from PG-Triggers into Neo4j, which makes use of the
so-called {\it APOC triggers}; APOC is a community-contributed library for
augmenting the Cypher query language supported by Neo4j. We also cover
Memgraph, and show that our approach applies to this system in a similar way.
We illustrate the use of PG-Triggers through a life science application
inspired by the COVID-19 pandemic. The main objective of this article is to
introduce an active database standard for graph databases as a first-class
citizen at a time when reactive graph management is in its infancy, so as to
minimize the conversion efforts towards a full-fledged standard proposal.
