题目内容

If a BFS and Shortest Path DFS prioritize the same nodes (e.g., both always choose to explore the lower numbered node first), BFS will always run at least as fast as Shortest Path DFS when run on two nodes in any connected unweighted graph.

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If a BFS and DFS prioritize the same nodes (e.g., both always choose to explore the lower numbered node first), BFS will always run at least as fast as DFS when run on two nodes in KN.

BFS will always run faster than DFS.

Consider the new version of DFS. This traverses paths until all non-circular paths from the source to the destination have been found, and returns the shortest one.Let A be the source node, and B be the destination in KN. How many paths of length 2 exist from A to B?______

For questions 3 and 4, consider the general case of our previous problem (permutations of n students in a line). Give your answer in terms of n.When represented as a tree, each node will have how many children?______