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Consider the graph given above.
a. What is the order of the graph?
b. What is the degree of vertex SS?
c. What is the degree of vertex RR?
d. How many components does the graph have?
Solution
a)
we need to find the order of the given graph.
we know that the order of the raph is the number of vertices
It has total 5 vertice that is Q, R , S , T , U so we can say that order of the graph is 5
b)
we need to find the degree of vertex S
The degree of a graph vertex of a graph is the number of graph edges which touch .
vertex S touches 3 edges so we can say that degree of vertex S is 3
c)
we need to find the degree of vertex R
vertex R touches only one edge so we can say that degree of vertex R is 1
d)
given graph does not form any loop.
so we can say that it has only 1 component.

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  • 1. Consider the graph given above. a. What is the order of the graph? b. What is the degree of vertex SS? c. What is the degree of vertex RR? d. How many components does the graph have? Solution a) we need to find the order of the given graph. we know that the order of the raph is the number of vertices It has total 5 vertice that is Q, R , S , T , U so we can say that order of the graph is 5 b) we need to find the degree of vertex S The degree of a graph vertex of a graph is the number of graph edges which touch . vertex S touches 3 edges so we can say that degree of vertex S is 3 c) we need to find the degree of vertex R vertex R touches only one edge so we can say that degree of vertex R is 1 d) given graph does not form any loop. so we can say that it has only 1 component.