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Important Formulas: Introduction to Graphs | Mathematics (Maths) Class 8 PDF Download
Terms
1. Graph: Graphs are visual representations of data collected.
2. Line graph: A line graph displays data that changes continuously over periods of time.
3. Linear graph: A linear graph is a specific type of line graph consisting of a single, unbroken line.
Cartesian system
The system of fixing a point with the help of two measurements, vertical and horizontal is known as Cartesian system.
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FAQs on Important Formulas: Introduction to Graphs - Mathematics (Maths) Class 8
| 1. What are the basic components of a graph in mathematics? |  |
Ans.A graph consists of vertices (or nodes) and edges (which connect the vertices). Each vertex represents a point, while each edge represents a relationship or connection between two vertices.
| 2. How do you determine the degree of a vertex in a graph? | |
Ans.The degree of a vertex is the number of edges incident to it. For undirected graphs, each edge contributes 1 to the degree of both connected vertices. In directed graphs, there are in-degrees (edges coming in) and out-degrees (edges going out).
| 3. What is the difference between a directed graph and an undirected graph? | |
Ans.A directed graph (or digraph) has edges with a direction, indicating a one-way relationship between vertices. An undirected graph has edges without direction, meaning the relationship is mutual between the vertices.
| 4. What is a weighted graph and how is it different from an unweighted graph? | |
Ans.A weighted graph assigns a weight (or value) to each edge, representing costs, distances, or other metrics. An unweighted graph does not have weights on edges; all edges are considered equal.
| 5. How can you represent a graph using an adjacency matrix? | |
Ans.An adjacency matrix is a square matrix used to represent a graph. The rows and columns represent the vertices, and the entries indicate the presence (usually marked with a 1) or absence (marked with a 0) of an edge between the vertices.
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