Hoffman-Singleton graph

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This article defines a particular undirected graph, i.e., the definition here determines the graph uniquely up to graph isomorphism.
View a complete list of particular undirected graphs

Definition

The Hoffman-Singleton graph can be defined as the unique strongly regular graph of type .

Arithmetic functions

Size measures

Function Value Explanation
size of vertex set 50
size of edge set 175

Numerical invariants associated with vertices

Since the graph is a vertex-transitive graph, any numerical invariant associated to a vertex must be equal on all vertices of the graph. Below are listed some of these invariants:

Function Value Explanation
degree of a vertex 7
eccentricity of a vertex 2