Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Networks - Basic concepts.
Test Yourself 1.


 

Edges. 1. How many edges are there in the shape below?

Answer.9 edges.
  2. How many edges are there in the shape below?

Answer.14 edges.
  8.
Vertices. 9. The diagram below shows a network.

What is the sum of the degrees of the vertices in the network?

Answer.11 vertices.
  10. (i) What is the sum of the degrees of the vertices in the following network?

(ii) What is the relationship between the number of edges and the total number of degrees in this diagram?

Answer.(i) Sum of degrees = 12.
(ii) The total degrees equals twice the number of edges.
 

11. How many vertices of even degree in the network diagram shown below?

Answer.4 vertices of even degree.
  12. State the vertex which has the largest degree in the network shown below and indicate its degree.

Answer.Vertex D has degree 4.
  13. What is the degree sum of the network shown below?

Answer.Degree sum is 19.
  14.
  15.How many even vertices
   
  16. A network contains 10 edges. What is the sum of the degrees of all its vertices?
Answer.Sum of the degrees is 20.
Networks 17. Which of the following letters shows a network which is NOT connected?

Answer.(b) and (d) and not connected networks.