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Determine whether the statement makes sense or does not make sense, and explain your reasoning.

"Using the shortest possible line length to connect ten towns with telephone lines involves finding the minimum spanning tree."

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Final answer:

The relationship between connecting towns with telephone lines and minimum spanning tree explained clearly.


Explanation:

Shortest Line to Connect Ten Towns with Telephone Lines and Minimum Spanning Tree

The statement makes sense because when connecting ten towns with telephone lines using the shortest possible line length, the concept of a minimum spanning tree is crucial in graph theory. A minimum spanning tree helps find the most efficient way to connect all towns without creating cycles, minimizing the total line length.

For example, if each town is represented as a vertex and the distances between them as edges, applying the minimum spanning tree algorithm like Prim's or Kruskal's can determine the optimal telephone line connections.


Learn more about Connect Ten Towns with Telephone Lines and Minimum Spanning Tree here:

https://brainly.com/question/13148966


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