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this Bellman-Ford Algorith example. Now suppose we change the weight of edge CB in

this Bellman-Ford Algorith example. Now suppose we change the weight of edge CB in

Database System Concepts
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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In this Bellman-Ford Algorith example. Now suppose we change the weight of edge CB in the diagram above,
from -2 to -4.

Explain why there is no longer a "shortest path" from S to C.

The image illustrates a directed graph and an accompanying table used in graph theory, often related to shortest path algorithms like Bellman-Ford. ### Graph Explanation: - **Nodes (Vertices):** The graph consists of five nodes labeled S, A, B, C, D, E. - **Directed Edges:** Arrows between nodes represent directed edges with associated weights, indicating the cost or distance between the nodes. - S→A: 10 - S→E: 8 - E→D: 1 - A→B: 1 - B→C: -2 - C→D: -1 - D→C: 2 - A→D: -4 ### Table Explanation: The table to the right lists distances: - **Columns:** - The top row numerically indicates shortest path distances from the source node (S) to each node. - The bottom row lists the corresponding nodes in order: S, A, B, C, D, E. **Values in the Table:** - S: 0 - A: 5 - B: 5 - C: 7 - D: 9 - E: 8 These values represent the shortest known distances from the source node S to the respective nodes after a specific number of iterations of an algorithm.
Transcribed Image Text:The image illustrates a directed graph and an accompanying table used in graph theory, often related to shortest path algorithms like Bellman-Ford. ### Graph Explanation: - **Nodes (Vertices):** The graph consists of five nodes labeled S, A, B, C, D, E. - **Directed Edges:** Arrows between nodes represent directed edges with associated weights, indicating the cost or distance between the nodes. - S→A: 10 - S→E: 8 - E→D: 1 - A→B: 1 - B→C: -2 - C→D: -1 - D→C: 2 - A→D: -4 ### Table Explanation: The table to the right lists distances: - **Columns:** - The top row numerically indicates shortest path distances from the source node (S) to each node. - The bottom row lists the corresponding nodes in order: S, A, B, C, D, E. **Values in the Table:** - S: 0 - A: 5 - B: 5 - C: 7 - D: 9 - E: 8 These values represent the shortest known distances from the source node S to the respective nodes after a specific number of iterations of an algorithm.
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