A directed graph has 4 nodes and the following directed weighted edges: weight 1 from node 2 to 1. weight 1 from node 4 to 1. weight 4 from node 1 to 2. weight 3 from node 2 to 3. weight 3 from node 4 to 3. weight 2 from node 1 to 4. weight 3 from node 2 to 4. weight 3 from node 3 to 4. Construct the weight matrix W to represent this graph. Use Floyd Algorithm to find the Distance Matrix D giving the shortest distance from every node to the other nodes.

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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A directed graph has 4 nodes and the following directed weighted edges:
weight 1 from node 2 to 1.
weight 1 from node 4 to 1.
weight 4 from node 1 to 2.
weight 3 from node 2 to 3.
weight 3 from node 4 to 3.
weight 2 from node 1 to 4.
weight 3 from node 2 to 4.
weight 3 from node 3 to 4.
Construct the weight matrix W to represent this graph. Use Floyd Algorithm to find the Distance Matrix D giving the shortest distance from every node to the other nodes.
Transcribed Image Text:A directed graph has 4 nodes and the following directed weighted edges: weight 1 from node 2 to 1. weight 1 from node 4 to 1. weight 4 from node 1 to 2. weight 3 from node 2 to 3. weight 3 from node 4 to 3. weight 2 from node 1 to 4. weight 3 from node 2 to 4. weight 3 from node 3 to 4. Construct the weight matrix W to represent this graph. Use Floyd Algorithm to find the Distance Matrix D giving the shortest distance from every node to the other nodes.
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