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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.

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
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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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.

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