A diagonal matrix 
sometimes also called the valency matrix
corresponding to a graph that has the vertex
degree of 
in the 
th
position (Skiena 1990, p. 235; Babić et al. 2002).
Degree Matrix
See also
Laplacian Matrix, Vertex DegreeExplore with Wolfram|Alpha
References
Babić, D.; Klein, D. J.; Lukovits, I.; Nikolić, S.; and Trinajstić, N. "Resistance-Distance Matrix: A Computational Algorithm and Its Applications." Int. J. Quant. Chem. 60, 161-176, 2002.Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, 1990.Referenced on Wolfram|Alpha
Degree MatrixCite this as:
Weisstein, Eric W. "Degree Matrix." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DegreeMatrix.html