Using Prim's algorithm to get its minimum spanning tree (MST), starting from node 16. Indicate the search order of all nodes and edges (e.g., 16 -> 15 -> .. -> 1 for nodes, and (16,15) -> (15,14) -> ... -> (2, 1) for edges). Explicitly show the MST on the graph (or, draw one if you cannot print), and calculate the minimum total weight.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Problem 4. Consider the following undirected graph in which the number on each edge indicates its
weight.
1) Using Prim's algorithm to get its minimum spanning tree (MST), starting from node 16. Indicate the
search order of all nodes and edges (e.g., 16 -> 15 -> ... -> 1 for nodes, and (16,15) -> (15,14) -> ·… ->
(2, 1) for edges).
2) Explicitly show the MST on the graph (or, draw one if you cannot print), and calculate the minimum
total weight.
4
10
15
6.
11
13
2
8.
7
10
10
14
11
13
16
10
15
17
17
12
7
9
4.
12
6.
17
16
14
20
3
15
10
18
8.
33
11
Transcribed Image Text:Problem 4. Consider the following undirected graph in which the number on each edge indicates its weight. 1) Using Prim's algorithm to get its minimum spanning tree (MST), starting from node 16. Indicate the search order of all nodes and edges (e.g., 16 -> 15 -> ... -> 1 for nodes, and (16,15) -> (15,14) -> ·… -> (2, 1) for edges). 2) Explicitly show the MST on the graph (or, draw one if you cannot print), and calculate the minimum total weight. 4 10 15 6. 11 13 2 8. 7 10 10 14 11 13 16 10 15 17 17 12 7 9 4. 12 6. 17 16 14 20 3 15 10 18 8. 33 11
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