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Consider the following directed graph for each of the problems: Perform a breadth - first search on the graph assuming that the vertices and adjacency
Consider the following directed graph for each of the problems:
Perform a breadthfirst search on the graph assuming that the vertices and adjacency lists are
listed in alphabetical order. Show the breadthfirst search tree that is generated.
Perform a depthfirst search on the graph assuming that the vertices and adjacency lists are
listed in alphabetical order. Classify each edge as tree, forward, back or cross edge. Label
each vertex with its start and finish time.
Remove all the back edges from the graph so it becomes a DAG. Perform a depthfirst search
recording the start and finish times. Using those finish times, provide the topological order
that is produced. Provide one breadthfirst topological order for that graph.
Determine the strongly connected components of the graph using the algorithm provided in
the sample problems. Show the final depthfirst search of the transpose graph labeled with its
start and finish times. Identify the strongly connected components based on that search.
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