TreePlot (Built-in Mathematica Symbol)

TreePlot[{v i 1 -> v j 1, v i 2 -> v j 2, ...}] generates a tree plot of the graph in which vertex v_ik is connected to vertex v_jk.TreePlot[{{v i 1 -> v j 1, lbl_1}, ...}] ...

LinkRankMatrix (Graph Utilities Package Symbol)

LinkRankMatrix[g] returns the link rank of the graph g, in the form of a sparse matrix. The link rank of an edge u -> v is defined as the PageRanks of u, divided by the ...

NeighborhoodVertices (Graph Utilities Package Symbol)

NeighborhoodVertices[g, i, r] gives vertices that can be reached from vertex i within r hops.NeighborhoodVertices[g, i] gives vertices that can be reached from vertex i.

PageRankVector (Graph Utilities Package Symbol)

PageRankVector[g] returns the page rank of the graph g.

HamiltonianCycles (Graph Utilities Package Symbol)

HamiltonianCycles[g, n] gives a list of n Hamiltonian cycles.HamiltonianCycles[g] gives a list of one Hamiltonian cycle.

PrimitiveRoot (Built-in Mathematica Symbol)

PrimitiveRoot[n] gives the smallest primitive root of n.

CommunityStructurePartition (Graph Utilities Package Symbol)

CommunityStructurePartition[g] gives the partition of a graph g into communities.

GraphPath (Graph Utilities Package Symbol)

GraphPath[g, start, end] finds a shortest path between vertices start and end in graph g.

GraphPlot3D (Built-in Mathematica Symbol)

GraphPlot3D[{v i 1 -> v j 1, v i 2 -> v j 2, ...}] generates a 3D plot of the graph in which vertex v_ik is connected to vertex v_jk.GraphPlot3D[{{v i 1 -> v j 1, lbl_1}, ...

GraphDistance (Graph Utilities Package Symbol)

GraphDistance[g, i, j] gives the distance from vertex i to vertex j in the graph g.