How does DFS Cycle Detection (Directed Graph) change at 10× traffic?

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Quick interview answer

At 10× traffic, DFS Cycle Detection (Directed Graph) usually hits queueing and CPU/I/O saturation first — mitigate with concurrency limits, batching, caching, and offloading. Mitigate first, then root-cause. Check symptoms against: Using two-color visited only (misses cross edges in undirected); forgetting disconnected components..

Detailed answer

At 10× traffic for DFS Cycle Detection (Directed Graph): 1) Bottleneck shifts from “works on my laptop” to queue delay and resource saturation. 2) Protect the loop/path: timeouts, bulkheads, backpressure, worker offload for CPU work. 3) Scale out carefully: sticky vs stateless, connection pools, cache hit ratio. 4) Prove with load tests that p99 stays inside SLO. Example to cite: Build pipeline: detect circular module imports before CI runs. Parent context: Mitigate first, then root-cause. Check symptoms against: Using two-color visited only (misses cross edges in undirected); forgetting disconnected components..

Full explanation

Focus on what breaks first and how you keep DFS Cycle Detection (Directed Graph) correct under load. Three-color DFS: white=unvisited, gray=in current stack, black=done. Back edge to gray node ⇒ cycle. Works for dependency graphs and course prerequisites.

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Parent context — DFS Cycle Detection (Directed Graph)

Mitigate first, then root-cause. Check symptoms against: Using two-color visited only (misses cross edges in undirected); forgetting disconnected components..

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