Describe an algorithm to test whether a given directed graph is a tree. Hint: Modify topological...
Describe an algorithm to test whether a given directed graph is a tree. Hint: Modify topological sort.
Homework Answers
- Find the vertex with only outgoing edges.
- Compute in-degree for each of the vertex present in the directed graph and initialize the count of visited nodes as 0.
- Pick all the vertices with in-degree as 0 and add them into a queue, If you encounter an already visited vertex, it's not a tree.
4. Remove a vertex from the queue and then
- Increment count of visited nodes by 1.
-Decrease in-degree by 1 for all its neighboring nodes.
-If in-degree of a neighboring nodes is reduced to zero, then add it to the queue.
5. Repeat Step 4 until the queue is empty, if you're done and there are unexplored vertices, it's not a tree - the graph is not connected.
6. Otherwise, it's a tree.
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Describe an algorithm to test whether a given directed graph is
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Apply the topological sort algorithm to the graph. Follow the
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lists: resultList, noIncoming and remainingEdges after each
iteration.
2. Apply the topological sort algorithm to the graph below. Follow the algorithm in you textbook and clearly show the content of the three lists: resultList, nolncoming and remainingEdges after each iteration GraphTopologicalSort (graph) { resultList = empty list of vertices no Incoming = list of all vertices with no...
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