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| Q. |
Consider the graph M with 3 vertices. Its adjacency matrix is shown below. Which of the following is true?
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| A. | graph m has no minimum spanning tree |
| B. | graph m has a unique minimum spanning trees of cost 2 |
| C. | graph m has 3 distinct minimum spanning trees, each of cost 2 |
| D. | graph m has 3 spanning trees of different costs |
| Answer» C. graph m has 3 distinct minimum spanning trees, each of cost 2 | |
| Explanation: here all non-diagonal elements in the adjacency matrix are 1. so, every vertex is connected every other vertex of the graph. and, so graph m has 3 distinct minimum spanning trees. | |
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