Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > The degree of any vertex of graph is _______....
Start Learning for Free
The degree of any vertex of graph is _______.
- a)The number of edges incident with vertex
- b)Number of vertex in a graph
- c)Number of vertices adjacent to that vertex
- d)Number of edges in a graph
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The degree of any vertex of graph is _______.a)The number of edges inc...
The number of edges connected on a vertex v with the self loop counted twice is called the degree of vertex.
Free Test
FREE
| Start Free Test |
Community Answer
The degree of any vertex of graph is _______.a)The number of edges inc...
Definition of Degree
The degree of a vertex in a graph refers to the number of edges that are incident with that particular vertex. In other words, it represents the number of connections or links that a vertex has with other vertices in the graph.
Explanation of the Answer
The correct answer is option 'A', which states that the degree of any vertex in a graph is the number of edges incident with that vertex. This means that the degree of a vertex is determined by counting the number of edges that are directly connected to that vertex.
Understanding the Degree of a Vertex
To understand this concept better, let's consider a simple example. Suppose we have a graph consisting of four vertices: A, B, C, and D. The edges in the graph are represented by the lines connecting the vertices.
If we focus on vertex A, we can see that it is connected to three edges: one edge connects A to B, another edge connects A to C, and the third edge connects A to D. Therefore, the degree of vertex A is 3.
Similarly, if we analyze vertex B, we can see that it is connected to two edges: one edge connects B to A and the other edge connects B to C. Thus, the degree of vertex B is 2.
We can follow the same procedure to determine the degree of vertices C and D. Vertex C is connected to three edges (C-A, C-B, and C-D), and vertex D is connected to two edges (D-A and D-C). Hence, the degrees of vertices C and D are 3 and 2, respectively.
Conclusion
In summary, the degree of any vertex in a graph is the number of edges incident with that vertex. It represents the number of connections or links that a vertex has with other vertices in the graph. By counting the number of edges directly connected to a vertex, we can determine its degree.
The degree of a vertex in a graph refers to the number of edges that are incident with that particular vertex. In other words, it represents the number of connections or links that a vertex has with other vertices in the graph.
Explanation of the Answer
The correct answer is option 'A', which states that the degree of any vertex in a graph is the number of edges incident with that vertex. This means that the degree of a vertex is determined by counting the number of edges that are directly connected to that vertex.
Understanding the Degree of a Vertex
To understand this concept better, let's consider a simple example. Suppose we have a graph consisting of four vertices: A, B, C, and D. The edges in the graph are represented by the lines connecting the vertices.
If we focus on vertex A, we can see that it is connected to three edges: one edge connects A to B, another edge connects A to C, and the third edge connects A to D. Therefore, the degree of vertex A is 3.
Similarly, if we analyze vertex B, we can see that it is connected to two edges: one edge connects B to A and the other edge connects B to C. Thus, the degree of vertex B is 2.
We can follow the same procedure to determine the degree of vertices C and D. Vertex C is connected to three edges (C-A, C-B, and C-D), and vertex D is connected to two edges (D-A and D-C). Hence, the degrees of vertices C and D are 3 and 2, respectively.
Conclusion
In summary, the degree of any vertex in a graph is the number of edges incident with that vertex. It represents the number of connections or links that a vertex has with other vertices in the graph. By counting the number of edges directly connected to a vertex, we can determine its degree.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer?
Question Description
The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer?.
The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The degree of any vertex of graph is _______.a)The number of edges incident with vertexb)Number of vertex in a graphc)Number of vertices adjacent to that vertexd)Number of edges in a graphCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup