In the mathematical field of graph theory the degree matrix is a diagonal matrix which contains information about the degree of each vertex. Mathematics is often defined as the study of topics such as quantity, structure, space, and change. ...
A graph diagram of a graph with 6 vertices and 7 edges. ...
In linear algebra, a diagonal matrix is a square matrix in which the entries outside the main diagonal are all zero. ...
In the mathematical field of graph theory the degree or valency of a vertex v is the number of edges incident to v (with loops being counted twice). ...
This article just presents the basic definitions. ...
Definition
Given a graph G = (V,E) with the degree matrix D for G is a square matrix defined as For the square matrix section, see square matrix. ...
Examples The degree matrix for the following vertex labeled graph In the mathematical discipline of graph theory, a graph labeling is the assignment of unique identifiers to the edges and vertices of a graph. ...

is Image File history File links 6ngraph2. ...
 The degree matrix of a kregular graph has a constant diagonal of k
