(2) 1. Is the following graph strongly connected? If not, is it weakly connected? If not, how many connected components does it have? b (2) 2. Is the following graph strongly connected? If not, is it weakly connected? If not, how many connected components does it have? 11 f 10 12 1 8 7 6 5
(2) 1. Is the following graph strongly connected? If not, is it weakly connected? If not, how many connected components does it have? b (2) 2. Is the following graph strongly connected? If not, is it weakly connected? If not, how many connected components does it have? 11 f 10 12 1 8 7 6 5
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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Transcribed Image Text:**Graph Connectivity Analysis**
**Question 1:**
1. Is the following graph strongly connected? _______
If not, is it weakly connected? _______
If not, how many connected components does it have? _______
**Graph Description:**
- This graph contains six vertices labeled a, b, c, d, e, and f.
- Connections:
- a → d
- b → a, b → c
- c → b, c → e
- e → f
- f → c
**Question 2:**
2. Is the following graph strongly connected? _______
If not, is it weakly connected? _______
If not, how many connected components does it have? _______
**Graph Description:**
- This graph contains twelve vertices labeled from 1 to 12.
- Connections between vertices form a directed circle with additional connections across the circle, possibly indicating a more complex structure.
**Instructions for Analysis:**
- A graph is **strongly connected** if there is a path between any pair of vertices in both directions.
- A graph is **weakly connected** if replacing all directed edges with undirected makes the graph connected.
- Count the number of **connected components** if the graph is not weakly connected. A connected component is a subgraph where any two vertices are connected by a path, and no vertex in the component is connected to any vertex not in the component.
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