Local Degree

The degree of a Vertex of a Graph is the number of Edges which touch the Vertex, also called the Local Degree. The Vertex degree of a point $A$ in a Graph, denoted $\rho(A)$, satisfies

$$\sum_{i=1}^n \rho(A_i)=2 E,$$

where $E$ is the total number of Edges. Directed graphs have two types of degrees, known as the Indegree and Outdegree.

See also Indegree, Outdegree