Problem

Consider the following algorithm for topological sorting:topologicalSort(digraph) for each...

Consider the following algorithm for topological sorting:

topologicalSort(digraph) for each vertex v  TSNum(v) = the number of edges coming to v; // indegree  if TSNum(v) is 0    enqueue(v);i = 1;while queue is not empty v = dequeue(); num(v) = i++; for each edge(vu)  TSNum(u)--;  if TSNum(u) is 0   enqueue(u);

Apply this algorithm to the graph in Figure and show all changes in the queue and in TSNum’s. Also, process this figure with the algorithm from Section. What is the difference between these two algorithms?

Figure A digraph.

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Solutions For Problems in Chapter 8

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