Question: 1. Prove whether it is always, never, or sometimes true that the order in which the nodes are added to the shortest-path tree is the

1. Prove whether it is always, never, or sometimes true that the order in which the nodes are added to the shortest-path tree is the same as the order in which they are encountered in a breadth-first traversal.

2. Prove whether it is always, never, or sometimes true that the order in which the nodes are added to the shortest-path tree is the same as the order in which they are encountered in a depth-first traversal.

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