dependency-grapher

To find a safe execution order for tasks with dependencies, you build a directed acyclic graph and compute a topological sort. This produces a sequence where every task appears only after its prerequisites are complete.

Cycle detection in a task dependency graph validates that the directed edges form no loops. The process enforces input structure like blockedBy and blocks, then fails safely if a self-reference or circular dependency is found.

Identifying parallel tracks in a directed acyclic graph involves finding tasks that share no dependency path and can execute concurrently. The graph computation highlights these independent branches to maximize parallelism.

Computing task dependencies requires an input structure with explicit id, title, blockedBy, and blocks fields. This validates relationships and allows the graph engine to map prerequisites and blockers accurately.

Topological sorting fails on task dependencies when the directed graph contains a cycle or self-reference. The validation process detects these loops, making a feasible execution order impossible to produce.