In graph theory, what does the degree of a node represent?Select one:a. The direction of edges connected to the node.b. The distance between the node and the farthest node in the graph.c. The number of edges connected to the node.d. The value or weight of the node.

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

What is the degree of a vertex in a graph?a) Number of edges connected to the vertexb) Number of vertices in the graphc) Number of self-loopsd) Number of paths through the vertex

In a weighted graph, what does the "weight" of an edge typically represent?Group of answer choicesThe color of the edgeThe number of vertices in the graphThe degree of a vertexThe distance between two vertices

If a graph has 8 vertices and 12 edges, then the degree of each vertex in the graph is:a.3b.6c.12d.10

The sum of degrees of all vertices in a simple undirected graph is always:a.Equal to the number of vertices in the graphb.Twice the number of vertices in the graphc.Equal to the number of edges in the graphd.Half the number of edges in the graph