1. Show that if T is a BFS tree produced for a connected graph G, then, for each vertex v at level i, the path of T between s and v has i edges, and any other path of G between s and v has at least i edges.2. Justify Proposition 14.16.3. Provide an implementation of the BFS algorithm that uses a FIFO queue, rather than a level-by-level formulation, to manage vertices that have been discovered until the time when their neighbors are considered.
1. Show that if T is a BFS tree produced for a connected graph G, then, for each vertex v at…
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