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.
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
Problem 1PE
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Question
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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