Consider four coordinate points, A = (-1, -3), B = (17, 3), C = (-8, 7), D = (10, -5) . Construct the distance matrix for the four points above, using Manhattan distance (L1 norm). For example, distance between (0, 0) and (1, 1) is |(0-1)| + |(0-1)| = 2. . Using Kruskal's algorithm, find a minimum spanning tree for the distance matrix above. Illustrate intermediate steps with an edge list and a table. In general, if we use Euclidean distance instead of Manhattan distance, we sort the edge list based on the weights, is the sorted order the same? Explain your answer.

Computer Networking: A Top-Down Approach (7th Edition)
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3. This question is about minimum spanning tree.
Consider four coordinate points, A = (-1, -3), B = (17, 3), C = (-8, 7), D = (10, -5)
a. Construct the distance matrix for the four points above, using Manhattan distance
(L1 norm). For example, distance between (0, 0) and (1, 1) is |(0-1)| + |(0-1)| = 2.
b. Using Kruskal's algorithm, find a minimum spanning tree for the distance matrix
above. Illustrate intermediate steps with an edge list and a table.
c. In general, if we use Euclidean distance instead of Manhattan distance, we sort the
edge list based on the weights, is the sorted order the same? Explain your answer.
Transcribed Image Text:3. This question is about minimum spanning tree. Consider four coordinate points, A = (-1, -3), B = (17, 3), C = (-8, 7), D = (10, -5) a. Construct the distance matrix for the four points above, using Manhattan distance (L1 norm). For example, distance between (0, 0) and (1, 1) is |(0-1)| + |(0-1)| = 2. b. Using Kruskal's algorithm, find a minimum spanning tree for the distance matrix above. Illustrate intermediate steps with an edge list and a table. c. In general, if we use Euclidean distance instead of Manhattan distance, we sort the edge list based on the weights, is the sorted order the same? Explain your answer.
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