Question: Upon termination of Dijkstras algorithm on a connected graph g, if we keep only the nodes and the edges that connect nodes to their parents,

Upon termination of Dijkstras algorithm on a connected graph g, if we keep only the nodes and the edges that connect nodes to their parents, we obtain a tree. For an arbitrary connected graph g and node i in it, is the tree produced by the algorithm on g, starting from node i, a spanning tree? Is it a minimum spanning tree? Prove your answer.

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