This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.


balanced_tree(r, h, create_using=None)[source]

Return the perfectly balanced r-tree of height h.

  • r (int) – Branching factor of the tree
  • h (int) – Height of the tree
  • create_using (NetworkX graph type, optional) – Use specified type to construct graph (default = networkx.Graph)

G – A tree with n nodes

Return type:

networkx Graph


This is the rooted tree where all leaves are at distance h from the root. The root has degree r and all other internal nodes have degree r+1.

Node labels are the integers 0 (the root) up to number_of_nodes - 1.

Also refered to as a complete r-ary tree.