Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
Step 0 1 2 (i) 3 (iv) A (v) 3 2 4 B D N' ш* 8 E (1) 10 E 4 2 F A B C D D(A),p(A) D(B),p(B) D(C),p(C) D(D),p(D) (iii) [Choose ] [Choose ] 8,F 9,D EFB 8,D 1,E 6,D EFD 6,F 4,E 00 (iv) (v) F D(F),p(F) 2,E

Step 0 1 2 (i) 3 (iv) A (v) 3 2 4 B D N' ш* 8 E (1) 10 E 4 2 F A B C D D(A),p(A) D(B),p(B) D(C),p(C) D(D),p(D) (iii) [Choose ] [Choose ] 8,F 9,D EFB 8,D 1,E 6,D EFD 6,F 4,E 00 (iv) (v) F D(F),p(F) 2,E

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
See similar textbooks
icon
Related questions
Question

5.03-3. Dijkstra's Algorithm (3, part 3).  Consider the network shown below, and Dijkstra’s link-state algorithm. Here, we are interested in computing the least cost path from node E to all other nodes using Dijkstra's algorithm. Using the algorithm statement used in the textbook and its visual representation, complete the "Step 2" row in the table below showing the link state algorithm’s execution by matching the table entries (i), (ii), (iii), (iv) and (v) with their values.

**Network Graph and Table Overview** The image depicts a network graph and a table used to calculate shortest paths using a method such as Dijkstra's algorithm. **Graph Explanation:** - The graph, highlighted in blue, consists of nodes labeled A, B, C, D, E, and F, with edges connecting them. - Each edge between two nodes is labeled with a weight, representing the cost or distance between those nodes. - Example weights: - A to B: 3 - A to C: 2 - B to C: 10 - B to E: 4 - C to D: 4 - D to E: 4 - E to F: 2 - Node E is highlighted in red, indicating it may be the starting node for path calculations. **Table Explanation:** The table lists the steps of the algorithm, representing the current shortest path calculations. - **Columns:** - **Step:** Represents the iteration or step number in the calculation. - **N':** Displays the set of visited nodes at each step. - **D(A), p(A) through D(F), p(F):** Columns for each node showing the current shortest distance (D) and predecessor (p) from the starting node. - **Rows:** - **Step 0:** - N' = E - Distances, predecessors are initialized. All distances are set to infinity (∞) except for the starting node E. - **Step 1:** - Only node E is processed initially. - **Step 2:** - The first set of node calculations begins, with nodes being filled in beneath (i), (ii), (iii), (iv), and (v). **Dropdown Menu:** - Below the table, there are interactive drop-down menus for each node calculation in Step 2. - Options like "8,F", "9,D", "EFB", etc. signify possible distance and predecessor combinations to be selected. This setup is typically used in educational contexts to teach shortest path algorithms. It allows students to interactively explore the steps of these algorithms by selecting the correct interim distances and predecessors at each step.
Transcribed Image Text:**Network Graph and Table Overview** The image depicts a network graph and a table used to calculate shortest paths using a method such as Dijkstra's algorithm. **Graph Explanation:** - The graph, highlighted in blue, consists of nodes labeled A, B, C, D, E, and F, with edges connecting them. - Each edge between two nodes is labeled with a weight, representing the cost or distance between those nodes. - Example weights: - A to B: 3 - A to C: 2 - B to C: 10 - B to E: 4 - C to D: 4 - D to E: 4 - E to F: 2 - Node E is highlighted in red, indicating it may be the starting node for path calculations. **Table Explanation:** The table lists the steps of the algorithm, representing the current shortest path calculations. - **Columns:** - **Step:** Represents the iteration or step number in the calculation. - **N':** Displays the set of visited nodes at each step. - **D(A), p(A) through D(F), p(F):** Columns for each node showing the current shortest distance (D) and predecessor (p) from the starting node. - **Rows:** - **Step 0:** - N' = E - Distances, predecessors are initialized. All distances are set to infinity (∞) except for the starting node E. - **Step 1:** - Only node E is processed initially. - **Step 2:** - The first set of node calculations begins, with nodes being filled in beneath (i), (ii), (iii), (iv), and (v). **Dropdown Menu:** - Below the table, there are interactive drop-down menus for each node calculation in Step 2. - Options like "8,F", "9,D", "EFB", etc. signify possible distance and predecessor combinations to be selected. This setup is typically used in educational contexts to teach shortest path algorithms. It allows students to interactively explore the steps of these algorithms by selecting the correct interim distances and predecessors at each step.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Mergesort
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS