I went with BFS and kept a map from old nodes to their new clones to avoid revisiting.
Use a hash map to track visited nodes and their clones, then perform a graph traversal (DFS or BFS) starting from the given node. For each node, create a clone if not already present, and recursively clone its neighbors, linking them to the clone's neighbor list.
Pro tip: Clarify whether the graph can have cycles or duplicate edges, and mention that the hash map prevents infinite loops and ensures each node is cloned exactly once. Also, discuss trade-offs between DFS (recursive, may cause stack overflow for large graphs) and BFS (iterative, uses queue) to show depth.
Confirm that the graph is connected, undirected, and may contain cycles. Ask about node values, edge cases (empty graph, single node), and whether the graph can be modified.
Decide between DFS (recursive or iterative) and BFS. Use a hash map (dictionary) to map original nodes to their clones, ensuring each node is cloned once.
Start from the given node. If it's already cloned, return the clone. Otherwise, create a new node with the same value, add it to the map, then recursively clone all neighbors and append them to the clone's neighbors list.
Test with a single node, a cycle, and a larger graph. Ensure the clone is a deep copy (no shared references) and that the original graph remains unchanged.
State time and space complexity: O(N + E) time and O(N) space for the hash map and recursion/queue. Discuss iterative vs recursive trade-offs (stack overflow risk vs code simplicity).
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