Give an example of a directed graph G (V, E), a source vertex s V, and a set of tree edges E E such that for each vertex V, the unique simple path in the graph (V, E ) from s to is a shortest path in G, yet the set of edges E cannot be produced by running BFS on G, no matter how the vertices are ordered in each adjacency list

Question: Give an example of a directed graph G = (V, E), a source vertex s V, and a set of tree edges E

Give an example of a directed graph G = (V, E), a source vertex s ∈ V, and a set of tree edges E_π ⊆ E such that for each vertex ν ∈ V, the unique simple path in the graph (V, E_π) from s to ν is a shortest path in G, yet the set of edges E_π cannot be produced by running BFS on G, no matter how the vertices are ordered in each adjacency list.

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