Generating binary trees using rotations

D Zerling - Journal of the ACM (JACM), 1985 - dl.acm.org
generating all codewords for binary trees on m < n nodes as well (the partial codewords for
the trees … The modified algorithm that generated the computer-represented binary trees has …

On rotations and the generation of binary trees

JM Lucas, DR Vanbaronaigien, F Ruskey - Journal of Algorithms, 1993 - Elsevier
… We will develop an algorithm for generating all binary trees so that each successive tree
The rotation graph G, has vertex set consisting of all binary trees with n nodes. Two vertices …

Generating binary trees lexicographically

F Ruskey, TC Hu - SIAM Journal on Computing, 1977 - SIAM
… We represent a binary tree by the level numbers of its leaves from left to right. Thus every
binarytree of n. … Here, we represent a binary tree by the level number of its leaves. Thus a …

On generating all binary trees

W Skarbek - Fundamenta Informaticae, 2007 - content.iospress.com
… For certain classes of binary trees, the answers for the above … of all non isomorphic binary
trees on k nodes, the generating … the paper titled Generating Binary Trees submitted to Journal …

A random binary tree generator

HW Martin, BJ Orr - Proceedings of the 17th conference on ACM Annual …, 1989 - dl.acm.org
… the single binary tree having one node. The two nodes at level two represent the two trees in
B… Suppose N = 4 and we wish to randomly generate a binary tree having four nodes, that is, …

[PDF][PDF] Counting and randomly generating binary trees

JF Korsh - Inf. Process. Lett., 1993 - academia.edu
… to generating a random binary tree in linear time using integers of size no larger than 2n.
Enumeration of binary trees is … It aIso provides another way to generate a random binary tree as …

Generating binary trees by transpositions

F Ruskey, A Proskurowski - Journal of algorithms, 1990 - Elsevier
Binary trees are of fundamental importance in computer science. In recent years there has
been some interest in algorithms that generate all binary trees with … classes of binary trees (for …

The generation of random, binary unordered trees

GW Furnas - Journal of Classification, 1984 - Springer
… The method put forth in this section constructs a binary tree via a random process that yields
all possible unrooted terminally labeled unordered binary trees with equal probability. The …

Generating binary trees of bounded height

CC Lee, DT Lee, CK Wong - Acta Informatica, 1986 - Springer
… We present a new encoding scheme for binary trees with n internal nodes whose heights …
of the tree level by level and enables us to develop an algorithm for generating all binary trees

The average height of binary trees and other simple trees

P Flajolet, A Odlyzko - Journal of Computer and System Sciences, 1982 - Elsevier
binary trees is that exact enumeration formulae are no longer available for the number of trees
… The path we follow relies on the principle that the coefficients of a generating function are …