networkx.generators.classic.binomial_tree

binomial_tree(n)[source]

Returns the Binomial Tree of order n.

The binomial tree of order 0 consists of a single vertex. A binomial tree of order k is defined recursively by linking two binomial trees of order k-1: the root of one is the leftmost child of the root of the other.

Parameters:n (int) – Order of the binomial tree.
Returns:G – A binomial tree of \(2^n\) vertices and \(2^n - 1\) edges.
Return type:NetworkX graph