In a simple graph, the number of edges is equal to twice the sum of the degrees of the vertices.Group of answer choicesFalseTrue

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

In a digraph, the sum of the in-degrees is equal to:A. The number of verticesB. The number of edgesC. Twice the number of verticesD. Twice the number of edges

Consider a simple undirected graph with 6 vertices. The degrees of the vertices in this graph are as follows: vertex A has degree 3, vertex B has degree 2, vertex C has degree 4, vertex D has degree 3, vertex E has degree 3, and vertex F has degree 1. Calculate the number of edges in the graph.a.6b.7c.8d.12

The given Graph is regular.Group of answer choicesTrueFalse

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