Question: If G is a weighted, undirected , connected graph with n nodes containing a negative weight cycle, then for every two nodes s, t, the

If G is a weighted, undirected, connected graph with n nodes containing a negative weight cycle, then for every two nodes s, t, the shortest path from s to t containing at most n + 1 edges is strictly shorter than the shortest path from s to t containing at most n edges. (Note that here we allow a path to have duplicate nodes and edges.)

True or False and briefly justify.

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