Algorithm 7.3 Dijkstra’s Algorithm 1: Input : G = (V, E, w) connected, weighted graph G and a source vertex s 2: Output : d[n] and p[n] distances and parents of vertices in shortest path tree 3: for all v ∈ V \ {s} do initialize all vertices except source s 4: d[v]←∞ 5: p[v]←−1 6: end for 7: d[s] = 0; p[s] = s initialize source 8: S ← V 9: while S = Ø do 10: find u ∈ S with minimum distance value 11: for all (u, v) ∈ E do update neighbor distances to v 12: if d[v] > d[u] + w(u, v) then 13: d[v] ← d[v] > d[u] + w(u, v)
Algorithm 7.3 Dijkstra’s Algorithm 1: Input : G = (V, E, w) connected, weighted graph G and a source vertex s 2: Output : d[n] and p[n] distances and parents of vertices in shortest path tree 3: for all v ∈ V \ {s} do initialize all vertices except source s 4: d[v]←∞ 5: p[v]←−1 6: end for 7: d[s] = 0; p[s] = s initialize source 8: S ← V 9: while S = Ø do 10: find u ∈ S with minimum distance value 11: for all (u, v) ∈ E do update neighbor distances to v 12: if d[v] > d[u] + w(u, v) then 13: d[v] ← d[v] > d[u] + w(u, v)
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
Related questions
Question
1: Input : G = (V, E, w) connected, weighted graph G and a source vertex s
2: Output : d[n] and p[n] distances and parents of vertices in shortest path tree
3: for all v ∈ V \ {s} do initialize all vertices except source s
4: d[v]←∞
5: p[v]←−1
6: end for
7: d[s] = 0; p[s] = s initialize source
8: S ← V
9: while S = Ø do
10: find u ∈ S with minimum distance value
11: for all (u, v) ∈ E do update neighbor distances to v
12: if d[v] > d[u] + w(u, v) then
13: d[v] ← d[v] > d[u] + w(u, v)
14: p[v] ← u update parent
15: end if
16: end for
17: S ← S \ {u} remove u from searched
18: end while
Write code for algorithm
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
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.Recommended textbooks for you
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)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
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)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education