Solution: Clone Graph
Understand how to clone an undirected connected graph by performing a depth-first traversal. Learn to implement a recursive helper function that creates new instances of graph nodes and stores mappings in a hash map to avoid cycles. This lesson covers time and space complexity considerations and critical techniques for deep copying graphs.
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Statement
You are given a reference to a single node in an undirected, connected graph. Your task is to create a deep copy of the graph starting from the given node. A deep copy means creating a new instance of every node in the graph with the same data and edges as the original graph, such that changes in the copied graph do not affect the original graph.
Each node in the graph contains two properties:
data: The value of the node, which is the same as its index in the adjacency list.neighbors: A list of connected nodes, representing all the nodes directly linked to this node.
However, in the test cases, a graph is represented as an adjacency list to understand node relationships, where each index in the list represents a node (using 1-based indexing). For example, for