random_tree.py

import random

class Node:
    def __init__(self, children):
        self.children = []

root = Node([])

nodes_to_process = [root]
count = 0

while nodes_to_process and count < 50:
    count += 1
    node = nodes_to_process.pop(0)

    for _ in range(0, random.randint(0, 3)):
        child = Node([])
        node.children.append(child)
        nodes_to_process.append(child)