The image features two graphs, labeled \( G_1 = (V_1, E_1) \) and \( G_2 = (V_2, E_2) \).**Graph \( G_1 \):**- A connected graph with seven vertices: \( a, b, c, d, e, f, \) and \( g \).- The edges connect the vertices as follows: - \( a \) is connected to \( c, d, e, f, \) and \( g \). - \( b \) is connected to \( c, d, e, f, \) and \( g \).**Graph \( G_2 \):**- An unconnected graph with three vertices: \( x, y, \) and \( z \).- There are no edges connecting the vertices in this graph, indicating isolated points.This depiction illustrates the structural differences between a connected graph \( G_1 \) and a disconnected graph \( G_2 \). d) What is the total degree of \( G_1 \)?e) Which vertices are adjacent to vertex \( f \)?f) Find the connected components of \( G_1 \) and \( G_2 \).

Degree : to total number of incoming and out going edge ( in directed graph there is two type of…

Answered: d) What is the total degree of G1? e)…

d) What is the total degree of G1? e) Which vertices are adjacent to vertex f? f) Find the connected components of G1 and G2.

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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Concept explainers

Any Pair Segment

A line segment is the part of a line that is represented by a connection of two end points. It encompasses both ends of the line, as well as all points in between. The length of a line cannot be measured, but the length of a segment can be measured. If a line segment is bounded by two end points, it is called a closed line segment, whereas an open line segment does not have both endpoints. A line segment with a single endpoint is called half-open. A closed line segment contains every point on the line that exists between the two end points. For example, if L is a line, then AB is a line segment of line L where A and B are endpoints of the line segment.

Question

The image features two graphs, labeled \( G_1 = (V_1, E_1) \) and \( G_2 = (V_2, E_2) \).

**Graph \( G_1 \):**
- A connected graph with seven vertices: \( a, b, c, d, e, f, \) and \( g \).
- The edges connect the vertices as follows:
- \( a \) is connected to \( c, d, e, f, \) and \( g \).
- \( b \) is connected to \( c, d, e, f, \) and \( g \).

**Graph \( G_2 \):**
- An unconnected graph with three vertices: \( x, y, \) and \( z \).
- There are no edges connecting the vertices in this graph, indicating isolated points.

This depiction illustrates the structural differences between a connected graph \( G_1 \) and a disconnected graph \( G_2 \).

d) What is the total degree of \( G_1 \)?

e) Which vertices are adjacent to vertex \( f \)?

f) Find the connected components of \( G_1 \) and \( G_2 \).

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