Strongly Connected Components A strongly connected component of a digraph G is a subgraph G of G such that G is strongly connected, that is, there is a path between each vertex pair in G in both directions. An algorithm to find SCCs of a digraph may be sketched as follows. 1. Find connectivity matrix C using the adjacency matrix A of the graph G. 2. Convert C to boolean. 3. Find transpose CT of C. 4. Boolean multiply C and CT . 5. The resulting product will have all 1s in the SCCs. show the implementation of this algorithm for any graph.

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
icon
Related questions
Question

8.1.3.2 Strongly Connected Components
A strongly connected component of a digraph G is a subgraph G of G such that G
is strongly connected, that is, there is a path between each vertex pair in G in both
directions. An algorithm to find SCCs of a digraph may be sketched as follows.
1. Find connectivity matrix C using the adjacency matrix A of the graph G.
2. Convert C to boolean.
3. Find transpose CT of C.
4. Boolean multiply C and CT .
5. The resulting product will have all 1s in the SCCs.
show the implementation of this algorithm for any graph.

Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Single source shortest path
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
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