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Number of Connected Components in an Undirected Graph
This is really about exploring a state space without revisiting the same work. Interviewers love it because it reveals your traversal modeling and your edge-case discipline. The trap is revisiting states or missing a base case; your visited/queue logic needs to be tight.
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Graph Interview Questions
BFS explores by layers using a queue; DFS explores deeply using a stack or recursion -- the same traversal with a different container. Choose BFS for shortest-path in unweighted graphs and "minimum steps," DFS for counting components, islands, and tree recursion.
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