In a regular graph of 15 vertices,the sum of | vedclass

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(C) Let the degree of each vertex be $K$. Since the graph is regular,every vertex has the same degree $K$. The sum of the degrees of all vertices in a

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$4$

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(C) Let the degree of each vertex be $K$. Since the graph is regular,every vertex has the same degree $K$. The sum of the degrees of all vertices in a graph is given by the product of the number of vertices and the degree of each vertex. Given that there are $15$ vertices and the sum of their degrees is $60$,we have: $15 	imes K = 60$ Dividing both sides by $15$,we get: $K = \frac{60}{15} = 4$ Therefore,the degree of each vertex is $4$.

In a regular graph of $15$ vertices,the sum of the degrees of the vertices is $60$. Then,the degree of each vertex is:

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