### Dijkstra's Algorithm and Negative Cost EdgesDijkstra's algorithm for computing lowest cost paths from a single source node is always correct for graphs without negative-cost edges. If a graph has negative-cost edges, the algorithm might or might not give the right answer. For the directed weighted graph below, list all nodes which Dijkstra's algorithm produces the wrong path and write the correct lowest-cost path.#### Graph DescriptionIn the graph provided:- Node A has two directed edges: - To node B with a weight of 7. - To node C with a weight of 3. - Node B has a directed edge: - To node D with a weight of -2. - Node C has a directed edge: - To node D with a weight of 3. - Node D has a directed edge: - To node E with a weight of -1.#### Analysis Questions1. The correct lowest-cost path from A to E should be: *Answer hidden* 2. The lowest-cost path from A to E that is produced from Dijkstra's algorithm (*Answer hidden*):*Note: The answers are intentionally hidden for educational purposes in this transcription to encourage problem-solving.*

Dijkstra's algorithm for computing lowest cost paths from a single source node is always correct for graphs without negative-cost edges. If a graph has negative-cost edges, the algorithm might or might not give the right answer. For the directed weighted graph below, list all nodes which Dijkstra's algorithm produces the wrong path and write the correct lowest-cost path. -2 7 -1 A B.

Dijkstra's algorithm for computing lowest cost paths from a single source node is always correct for graphs without negative-cost edges. If a graph has negative-cost edges, the algorithm might or might not give the right answer. For the directed weighted graph below, list all nodes which Dijkstra's algorithm produces the wrong path and write the correct lowest-cost path. -2 7 -1 A B.

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

### Dijkstra's Algorithm and Negative Cost Edges

Dijkstra's algorithm for computing lowest cost paths from a single source node is always correct for graphs without negative-cost edges. If a graph has negative-cost edges, the algorithm might or might not give the right answer. For the directed weighted graph below, list all nodes which Dijkstra's algorithm produces the wrong path and write the correct lowest-cost path.

#### Graph Description
In the graph provided:

- Node A has two directed edges:
- To node B with a weight of 7.
- To node C with a weight of 3.

- Node B has a directed edge:
- To node D with a weight of -2.

- Node C has a directed edge:
- To node D with a weight of 3.

- Node D has a directed edge:
- To node E with a weight of -1.

#### Analysis Questions
1. The correct lowest-cost path from A to E should be:
*Answer hidden*

2. The lowest-cost path from A to E that is produced from Dijkstra's algorithm (*Answer hidden*):

*Note: The answers are intentionally hidden for educational purposes in this transcription to encourage problem-solving.*

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