A graph G has 21 edges, 3 vertices of degree 4 and other vertices are of degree 3. Findthe number of vertices in G.

Question

A graph G has 21 edges, 3 vertices of degree 4 and other vertices are of degree 3. Findthe number of vertices in G.
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Solution 1

To find the number of vertices in graph G, we need to use the Handshaking Theorem. The Handshaking Theorem states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges.

In this case, we know that the graph has 21 edges and that 3 vertices have a degree of 4. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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