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In an undirected graph, the degree of a vertex is:A. The number of edges incident to the vertexB. The number of vertices adjacent to the vertexC. The sum of the degrees of all verticesD. The product of the degrees of all vertices

Question

In an undirected graph, the degree of a vertex is:A. The number of edges incident to the vertexB. The number of vertices adjacent to the vertexC. The sum of the degrees of all verticesD. The product of the degrees of all vertices

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Solution

The degree of a vertex in an undirected graph is both A and B. It is the number of edges incident to the vertex, which is also the number of vertices adjacent to the vertex. This is because each edge connected to a vertex represents a connection to another vertex. Therefore, the degree of a vertex gives us the number of immediate neighbors or adjacent vertices it has.

Option C and D are incorrect. The sum or the product of the degrees of all vertices does not define the degree of a single vertex.

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