CBSE Class 8 > Class 8 Videos > Introduction to Graphs - Mathematics
Introduction to Graphs - Video Lecture - Class 8
FAQs on Introduction to Graphs - Mathematics
| 1. What is a graph in mathematics? |  |
Answer: A graph in mathematics is a collection of points, called vertices, and a set of lines or curves, called edges, connecting some or all of these vertices. It is used to represent relationships or connections between objects or data.
| 2. What are the different types of graphs? | |
Answer: There are several types of graphs in mathematics, including: - Line graph: Represents data using straight lines to connect points. - Bar graph: Uses rectangular bars to represent data. - Pie chart: Divides a circle into sectors to represent data as proportions. - Scatter plot: Shows the relationship between two variables through individual data points. - Histogram: Displays data in intervals or ranges using bars.
| 3. How do you represent a graph using an adjacency matrix? | |
Answer: An adjacency matrix is a square matrix used to represent a graph. It has the same number of rows and columns as the number of vertices in the graph. If there is an edge between two vertices, the corresponding element in the matrix is 1; otherwise, it is 0. The adjacency matrix is symmetric for an undirected graph.
| 4. What is the difference between a directed graph and an undirected graph? | |
Answer: In a directed graph, also known as a digraph, the edges have a direction associated with them. This means that the relationship between two vertices is one-way, and the edge can be traversed in only one direction. In an undirected graph, the edges have no direction, and the relationship between two vertices is bidirectional.
| 5. How can graphs be used in real-life applications? | |
Answer: Graphs have various real-life applications, such as: - Social networks: Representing connections between individuals on social media platforms. - Transportation networks: Modeling road networks, flight routes, or subway systems. - Computer networks: Analyzing connections between devices or nodes. - Decision-making processes: Visualizing data to aid in making informed decisions. - Internet search engines: Ranking webpages based on their connections and relevance.
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Apr 18, 2026 Last updated
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Introduction to Graphs - Mathematics for Class 82026 is part of Class 8 preparation. The notes and questions for Introduction to Graphs - Mathematics have been prepared according to the Class 8 exam syllabus. Information about Introduction to Graphs - Mathematics covers all important topics for Class 82026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Introduction to Graphs - Mathematics.
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