In a weighted graph, edges have an associated number called weight, which might represent distances, costs times, or other quantities. The minimum spanning tree in a weighted graph minimizes the total weights of the edges necessary to connect all the vertices. Graphs can represent many real-world entities, including airline routes, electrical circuits, and job scheduling. The adjacency matrix can be used to represent a graph's edges in a computer program. Topological sorting is useful for scheduling projects which contain many tasks contingent on other tasks. There may be many correct topological sorts for a given graph. You can create a topological sort of a graph that contains cycles.

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
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In a weighted graph, edges have an associated number called weight, which might represent distances, costs,
times, or other quantities.
The minimum spanning tree in a weighted graph minimizes the total weights of the edges necessary to
connect all the vertices.
Graphs can represent many real-world entities, including airline routes, electrical circuits, and job scheduling.
The adjacency matrix can be used to represent a graph's edges in a computer program.
Topological sorting is useful for scheduling projects which contain many tasks contingent on other tasks.
There may be many correct topological sorts for a given graph.
You can create a topological sort of a graph that contains cycles.
Transcribed Image Text:True or False In a weighted graph, edges have an associated number called weight, which might represent distances, costs, times, or other quantities. The minimum spanning tree in a weighted graph minimizes the total weights of the edges necessary to connect all the vertices. Graphs can represent many real-world entities, including airline routes, electrical circuits, and job scheduling. The adjacency matrix can be used to represent a graph's edges in a computer program. Topological sorting is useful for scheduling projects which contain many tasks contingent on other tasks. There may be many correct topological sorts for a given graph. You can create a topological sort of a graph that contains cycles.
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