← Veeva Systems Interview Insights
The core of it is just topological sort with DFS and a visited set for cycle detection, but the alphabetical tie-breaking tripped me up.
Clarify the graph semantics and constraints, then implement a topological sort using Kahn's algorithm with a min-heap to ensure alphabetical tie-breaking. Detect cycles by comparing the number of processed nodes to the total reachable nodes, and analyze complexity based on the reachable subgraph.
Pro tip: Explicitly state that you are only considering the reachable subgraph from the start node, and use a min-heap instead of a queue to handle alphabetical ordering efficiently. This shows attention to detail and avoids unnecessary work on unreachable nodes.
Confirm that the adjacency map represents dependencies (key must execute before its list) and that we only consider nodes reachable from the given start. Ask about input size, cycle handling, and whether the graph is guaranteed to be a DAG.
Select Kahn's algorithm (BFS-based topological sort) for its natural cycle detection. Use a min-heap for zero-indegree nodes to break ties alphabetically, and compute indegrees only for reachable nodes.
Perform a DFS/BFS from the start node to collect all reachable nodes. For each reachable node, compute its indegree by counting incoming edges from other reachable nodes.
Initialize a min-heap with reachable nodes having indegree zero. Repeatedly extract the smallest node, append to result, and decrement indegrees of its neighbors, adding any that become zero. If the result size is less than the number of reachable nodes, a cycle exists.
State time complexity as O(V + E log V) due to heap operations, where V and E are the number of reachable nodes and edges. Space complexity is O(V + E) for storing the graph, indegrees, heap, and result. Mention that using a queue would give O(V+E) but without alphabetical order.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.