A system for automatically updating saved query results for a graph responsive to a graph update is disclosed. The system may identify a target constraint responsive to an update to the data graph. The target constraint specifies a path in a data graph that includes an edge specified in the update. The system may determine a state for the target constraint by traversing the graph via the path and determine based on the state, that a collapsed definition for a first query that includes the constraint indicates a member node is responsive to the first query. The system may then update a saved query result for the first query using the member node identified during the traversal in accordance with the collapsed definition.