(i) A graph G has 15 edges, 3 vertices of degree 4 and other vertices ofdegree 3. Find the number of vertices in G.
Question
Solution 1
To find the number of vertices in graph G, we can 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.
Given that the graph has 15 edges, the sum of the degrees of all vertices is 2*15 = 30.
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