DirectedEdges (Built-in Mathematica Symbol)

DirectedEdges is an option for Graph, GraphPlot, and related functions that specifies whether edges should be taken to be directed.

PseudoDiameter (Graph Utilities Package Symbol)

PseudoDiameter[g] give the pseudo-diameter of the undirected graph g, and the two vertices that achieve this diameter.

GraphCenter (Built-in Mathematica Symbol)

GraphCenter[g] gives the set of vertices with minimum eccentricity in the graph g.

GraphPeriphery (Built-in Mathematica Symbol)

GraphPeriphery[g] gives the set of vertices with maximum eccentricity in the graph g.

ClosenessCentrality (Graph Utilities Package Symbol)

ClosenessCentrality[g] finds the closeness centrality.

HighlightGraph (Built-in Mathematica Symbol)

HighlightGraph[g, {a_1, a_2, ...}] highlights the a_i that can be vertices, edges, or subgraphs of g.HighlightGraph[g, {..., w_j[a_j], ...}] highlights using the symbolic ...

UniformGraphDistribution (Built-in Mathematica Symbol)

UniformGraphDistribution[n, m] represents a uniform graph distribution on n-vertex, m-edge graphs.

NeighborhoodGraph (Built-in Mathematica Symbol)

NeighborhoodGraph[g, v] gives the graph neighborhood vertex v in the graph g. NeighborhoodGraph[g, {a_1, a_2, ...}] gives the graph neighborhood of the a_i that can be ...

DegreeGraphDistribution (Built-in Mathematica Symbol)

DegreeGraphDistribution[dlist] represents a degree graph distribution with vertex degree dlist.

TreeGraphQ (Built-in Mathematica Symbol)

TreeGraphQ[g] yields True if the graph g is a tree and False otherwise.