Answered: Figure 1 below shows three different…

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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Figure 1 below shows three different graphs. The graph in Fig. 1(a) is connected; the graph in Fig. 1(b) is disconnected and has two sections; the graph in Fig. 1(c) is disconnected and has three sections (the isolated vertex G is a section— that’s as small a section as you can get!). Notice that the only difference between the disconnected graph in Fig. 1(b) and the connected graph in Fig. 1(a) is the edge BF. Think of BF as a “bridge” that connects the two sections of the graph in Fig. 1(b). Not surprisingly, we call such an edge a bridge. A bridge in a connected graph is an edge that keeps the graph connected—if the bridge were not there, the graph would be disconnected. The graph in Fig. 1(a) has three bridges: BF, FG, and FH. Draw the graphs for item(b) and then, list all the bridges in each of the three graphs graphs: (b) the graph with vertex set {A, B, C, D, E} and edge list AB, AD, AE, BC, CE, DE.

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