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The Cost of Spanning Tree can be determined as a.By the sum of costs of the edges of the graphb. By the sum of the costs of the vertices of the treec.By the sum of the costs of the edges and vertices of the treed.By the sum of costs of the edges of the tree

Question

The Cost of Spanning Tree can be determined as a.By the sum of costs of the edges of the graphb. By the sum of the costs of the vertices of the treec.By the sum of the costs of the edges and vertices of the treed.By the sum of costs of the edges of the tree

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Solution

The cost of a Spanning Tree is determined by the sum of costs of the edges of the tree. So, the correct answer is d. "By the sum of costs of the edges of the tree".

Here's a step-by-step explanation:

  1. A Spanning Tree of a graph is a tree that includes every vertex of the graph.
  2. The cost of a Spanning Tree is the sum of the weights of all the edges in the tree.
  3. Therefore, to calculate the cost of a Spanning Tree, you would add up the weights of all the edges that are included in the tree.

So, the cost of a Spanning Tree does not depend on the vertices or the edges that are not included in the tree, only on the edges that are included in the tree.

This problem has been solved

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