Ten Little Algorithms, Part 4: Topological Sort
Other articles in this series: Part 1: Russian Peasant Multiplication Part 2: The Single-Pole Low-Pass Filter Part 3: Welford’s Method (And Friends) Today we’re going to take a break from my usual focus on signal processing...
Summary
This blog post introduces topological sort and shows how to compute a valid ordering of nodes in a directed acyclic graph. It explains common algorithms (Kahn's algorithm and DFS-based approaches) and highlights practical uses in embedded contexts like init ordering, dependency resolution, and RTOS task sequencing.
Key Takeaways
- Understand the problem statement and constraints of topological sort (DAGs and cycle detection).
- Implement Kahn's algorithm and a DFS-based topological sort with clear, C-friendly pseudocode.
- Apply topological sort to firmware problems such as module initialization order, build dependency resolution, and RTOS task ordering.
- Detect cycles and handle error cases to prevent deadlocks and misordered initialization during system bring-up.
Who Should Read This
Embedded firmware and systems engineers (intermediate level) who design initialization sequences, build/dependency systems, or RTOS task graphs and want practical algorithmic solutions.
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