VertexLabels is an option and property for Graph and related functions that specifies what labels and label positions should be used for vertices.
DegreeCentrality[g] gives a list of vertex degrees for the vertices in the underlying simple graph of g. DegreeCentrality[g, "InDegree"] gives a list of vertex ...
VertexOutDegree[g] gives the list of vertex out-degrees for all vertices in the graph g.VertexOutDegree[g, v] gives the vertex out-degree for the vertex v.
ButterflyGraph[n] gives the order-n butterfly graph. ButterflyGraph[n, b] gives the base-b order-n butterfly graph.
HypercubeGraph[n] gives the n-dimensional hypercube graph Q_n.
VertexDegree[g] gives the list of vertex degrees for all vertices in the graph g.VertexDegree[g, v] gives the vertex degree for the vertex v.
KCoreComponents[g, k] gives the k-core components of the underlying simple graph of g.KCoreComponents[g, k, "InDegree"] gives the k-core components with vertex in-degrees at ...
GraphDiameter[g] gives the maximum eccentricity of the vertices in the graph g.
GraphDifference[g, h] constructs the graph resulting from subtracting the edges of graph h from the edges of graph g.
Hypercube[n] constructs an n-dimensional hypercube.