To construct a Breadth-First Search (BFS) tree of a graph, start by selecting a starting node and adding it to the tree. Then, explore all neighboring nodes of the starting node before moving on to their neighbors. Continue this process level by level until all nodes in the graph have been visited and added to the tree. This ensures that the tree is constructed in a breadth-first manner, with nodes at each level being visited before moving on to the next level.
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