Generation of unordered binary trees

Abstract

A binary unordered tree is a tree where each internal node has two children and the relative order of the subtrees of a node is not important (i.e. two trees are different if they differ only in the respective ordering of subtrees of nodes). We present a new method to generate all binary rooted unordered trees with n internal nodes, without duplications, in O(log n) time. © Springer-Verlag Berlin Heidelberg 2004.