Explain how a directed graph's vertex u, which includes both incoming and outgoing edges in G, may end up in a depth-first tree that only contains u.

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Q: Show that the smallest edge must be present in a graph component's minimal spanning tree.

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Q: a directed, co

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A: Answer in next step

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A: As per our guidelines, we are supposed to answer only one question. Kindly repost the remaining…

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Q: A, В E De

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A:

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Q: 12- A Graph consists of four vertices A, B, C and D. If we start from A, which vertex will be…

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A:

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A: Answer is 'Complete'

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Q: A complete graph with 6 vertices is traversed using depth first search. The vertices are labeled A…

A: Below is the answer to above question. I hope this will e helpful for you...

Depth First Search

Depth-first search (DFS) also known as Depth First traversal is an algorithm used to traverse or search the nodes in a tree or graph data structure. Traversal usually means visiting all the nodes of a graph. DFS performs in a depth-ward manner. It uses a stack to remember the vertices it has visited. The search starts from the root node, where any arbitrary node is selected as a root node in a graph, and then each node is explored along each branch before performing backtracking. The DFS algorithm uses a recursive technique by following the idea of backtracking. DFS algorithm does this by performing an in-depth search of all the nodes by traversing in a forward direction. If the required node is not found, it starts backtracking to previously visited nodes.