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Which of these statements about the directed graph that represents a relation must be true? (Select all that apply.) If there is an edge from a to b, there must be an edge from b to a. A vertex in the graph does not have to be the initial vertex of some edge. A directed graph may have no loops. ☐A directed graph may have more edges than it has pairs of vertices. There must be a loop at every vertex of a directed graph.

Which of these statements about the directed graph that represents a relation must be true? (Select all that apply.) If there is an edge from a to b, there must be an edge from b to a. A vertex in the graph does not have to be the initial vertex of some edge. A directed graph may have no loops. ☐A directed graph may have more edges than it has pairs of vertices. There must be a loop at every vertex of a directed 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
Problem 1PE
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Which of these statements about the directed graph that represents a relation must be true? (Select all that apply.)

Which of these statements about the directed graph that represents a relation must be true? (Select all that apply.) ☐ If there is an edge from a to b, there must be an edge from b to a. ☐A vertex in the graph does not have to be the initial vertex of some edge. A directed graph may have no loops. ☐ A directed graph may have more edges than it has pairs of vertices. ☐There must be a loop at every vertex of a directed graph.
Transcribed Image Text:Which of these statements about the directed graph that represents a relation must be true? (Select all that apply.) ☐ If there is an edge from a to b, there must be an edge from b to a. ☐A vertex in the graph does not have to be the initial vertex of some edge. A directed graph may have no loops. ☐ A directed graph may have more edges than it has pairs of vertices. ☐There must be a loop at every vertex of a directed graph.
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