To determine the number of edges in the graph, we can use the Handshaking Theorem, which states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges.

In this graph, we have 5 vertices with a degree of 2 and 1 vertex with a degree of 4.

So, the sum of the degrees of all vertices is (5*2) + 4 = 14.

According to the Handshaking Theorem, the number of edges is half of this sum.

Therefore, the number of edges in the graph is 14 / 2 = 7.

Question

To determine the number of edges in the graph, we can use the Handshaking Theorem, which states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges.

In this graph, we have 5 vertices with a degree of 2 and 1 vertex with a degree of 4.

So, the sum of the degrees of all vertices is (5*2) + 4 = 14.

According to the Handshaking Theorem, the number of edges is half of this sum.

Therefore, the number of edges in the graph is 14 / 2 = 7.

Knowee AI · Accepted Answer

To determine the number of edges in the graph, we can use the Handshaking Theorem, which states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges.

In this graph, we have 5 vertices with a degree of 2 and 1 vertex with a degree of 4.

So, the sum of the degrees of all vertices is (5*2) + 4 = 14.

According to the Handshaking Theorem, the number of edges is half of this sum.

Therefore, the number of edges in the graph is 14 / 2 = 7.

A graph has 6 vertices, and each vertex has a degree of 2 except for one vertex, which has a degree of 4. Determine the number of edges in the graph

Question

A graph has 6 vertices, and each vertex has a degree of 2 except for one vertex, which has a degree of 4. Determine the number of edges in the graph.

Solution

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