Given the following adjacency matrix for a undirected, weighted graph: undirected, weighted graph data Source Node Destination Node Weight 0 3 2 3 4 3 3 7 6 4 7 8 0 4 7 1 4 9 1 5 3 4 8 1 7 8 2 0 1 4 4 5 2 5 8 3 8 9 2 5 9 10 1 2 5 5 2 6 5 6 7 2 6 8 9 6 9 Calculate each of the following searches assuming we start at node 4. Breadth-first search Depth-first search Show the order that each search will produce in a visual graph assuming it chooses a node with a higher number first when there are multiple choices. Remember unordered graphs allow for traveling from source to destination and from destination to source so to save space, an adjacency matrix may only provide from node A to B instead of including node B to A as another edge in the list.
Given the following adjacency matrix for a undirected, weighted graph: undirected, weighted graph data Source Node Destination Node Weight 0 3 2 3 4 3 3 7 6 4 7 8 0 4 7 1 4 9 1 5 3 4 8 1 7 8 2 0 1 4 4 5 2 5 8 3 8 9 2 5 9 10 1 2 5 5 2 6 5 6 7 2 6 8 9 6 9 Calculate each of the following searches assuming we start at node 4. Breadth-first search Depth-first search Show the order that each search will produce in a visual graph assuming it chooses a node with a higher number first when there are multiple choices. Remember unordered graphs allow for traveling from source to destination and from destination to source so to save space, an adjacency matrix may only provide from node A to B instead of including node B to A as another edge in the list.
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
Section: Chapter Questions
Problem 7PE
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Given the following adjacency matrix for a undirected, weighted graph:
undirected, weighted graph data
| Source Node |
Destination Node |
Weight |
|---|---|---|
| 0 | 3 | 2 |
| 3 | 4 | 3 |
| 3 | 7 | 6 |
| 4 | 7 | 8 |
| 0 | 4 | 7 |
| 1 | 4 | 9 |
| 1 | 5 | 3 |
| 4 | 8 | 1 |
| 7 | 8 | 2 |
| 0 | 1 | 4 |
| 4 | 5 | 2 |
| 5 | 8 | 3 |
| 8 | 9 | 2 |
| 5 | 9 | 10 |
| 1 | 2 | 5 |
| 5 | 2 | 6 |
| 5 | 6 | 7 |
| 2 | 6 | 8 |
| 9 | 6 | 9 |
Calculate each of the following searches assuming we start at node 4.
- Breadth-first search
- Depth-first search
Show the order that each search will produce in a visual graph assuming it chooses a node with a higher number first when there are multiple choices. Remember unordered graphs allow for traveling from source to destination and from destination to source so to save space, an adjacency matrix may only provide from node A to B instead of including node B to A as another edge in the list.
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