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10 questions
Determine the number of vertices, n(V) of the following graph.
6
5
10
12
Determine the number of edges, n(E) of the following graph.
4
5
6
7
Determine the sum of degrees of the following graph.
5
6
10
12
Based on the given graph, which of the statement below is false.
V = {A, B, C, D, E}
E = {e1, e2, e3, e4}
E= {(A,B),(B,C),(C,D),(D,E)}
V= 2E
What are the conditions of a simple graph?
No loops
No multiple edges
Sum of degrees = 2V
n(V)=n(E)
Based on the given graph, choose the correct statement.
V={P, Q, R, S, T, U, V}
n(E)=9
Σd(v)=14
It is a simple graph.
Given V={1, 2, 3, 4, 5, 6} and E={(1,2),(2,3),(2,4),(3,4),(3,6),(4,5)}. Which of the graph below represents the set of vertices and edges given?
Which of the following denotes a simple graph?
V={A, B, C, D, E}
E={(A,B),(A,C),(B,C),(C,D),(C,E),(C,E),(D,E)}
V={A, B, C, D, E}
E={(A,B),(A,C),(B,C),(B,D),(B,E),(C,E),(D,E)}
V={A, B, C, D, E}
E={(A,B),(A,B),(A,C),(B,D),(C,E),(C,D),(D,E)}
V={A, B, C, D, E}
E={(A,B),(A,C),(B,C),(C,C),(C,D),(C,E),(D,E)}
Based on the following degrees of vertices given, determine which graph can be drawn.
3, 2, 1, 3, 4
4, 3, 2, 2, 1
3, 2, 2, 3, 1, 3
4, 2, 4, 3, 1, 2
Based on the given graph, which of the following statement is true.
Sum of degrees=8
Degree of vertex M=5
Degree of vertex O=3
Number of edges=9
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