CompleteKaryTree (Built-in Mathematica Symbol)

CompleteKaryTree[n] gives the complete binary tree with n levels.CompleteKaryTree[n, k] gives the complete k-ary tree with n levels.

CompleteKaryTree (Combinatorica Package Symbol)

CompleteKaryTree[n, k] returns a complete k-ary tree on n vertices.

CompleteBinaryTree (Combinatorica Package Symbol)

CompleteBinaryTree[n] returns a complete binary tree on n vertices.

TreeGraphQ (Built-in Mathematica Symbol)

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

Constructing Graphs (Mathematica Guide)

In Mathematica, graphs can be constructed in a variety of ways. They can be built from vertices and edges directly in a symbolic form. They can come from built-in curated ...

BetweennessCentrality (Built-in Mathematica Symbol)

BetweennessCentrality[g] gives a list of betweenness centralities for the vertices in the graph g.

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.

GraphCenter (Built-in Mathematica Symbol)

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

GraphRadius (Built-in Mathematica Symbol)

GraphRadius[g] gives the minimum eccentricity of the vertices in the graph g.

GraphPeriphery (Built-in Mathematica Symbol)

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