The maximum degree, sometimes simply called the maximum degree, of a graph 
is the largest vertex degree
of 
,
denoted 
.
Maximum Vertex Degree
See also
Class 1 Graph, Class 2 Graph, Minimum Vertex Degree, Vertex Degree, Vizing's TheoremExplore with Wolfram|Alpha
References
Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, p. 157, 1990.Cite this as:
Weisstein, Eric W. "Maximum Vertex Degree." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MaximumVertexDegree.html