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A weighted graph is a graph in which each carries a value

A weighted graph is a graph in which each carries a value

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
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**Understanding Weighted Graphs** A weighted graph is a type of graph in which each **edge** carries a value. **Explanation:** In graph theory, a weighted graph assigns a numerical value to each of its edges. These values, often referred to as weights, can represent various quantities, such as costs, distances, or capacities, depending on the application. Weighted graphs are commonly used in algorithms for finding the shortest path or the minimum spanning tree.
Transcribed Image Text:**Understanding Weighted Graphs** A weighted graph is a type of graph in which each **edge** carries a value. **Explanation:** In graph theory, a weighted graph assigns a numerical value to each of its edges. These values, often referred to as weights, can represent various quantities, such as costs, distances, or capacities, depending on the application. Weighted graphs are commonly used in algorithms for finding the shortest path or the minimum spanning tree.
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Step 1

The question is as follows-

A weighted graph is a graph in which each_____carries a value.

So let’s understand the weighted graph-

In a weighted graph G=(V, E) every edge is assigned or every edge carries a positive value.

The weighted graph can be directional or unidirectional also.

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