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Degree matrix

In the mathematical field of graph theory the degree matrix is a diagonal matrix which contains information about the degree of each vertex.

Definition

Given a graph G = (V,E) with \|V\|=n the degree matrix D for G is a n \times n square matrix defined as

d_{i,j}:=\left\{ \begin{matrix} \deg(v_i) & \mbox{if}\ i = j \\ 0 & \mbox{otherwise} \end{matrix} \right.

Examples

Last updated: 10-16-2005 18:34:11
Science Fair Project Encyclopedia Contents Page
10-26-2009 08:16:03
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