Binary trees are essential structures in Computer Science. The leaf (leaves) of a binary tree is one of the most significant aspects of it. In this study, we prove that the order of a leaf (leaves) of a binary tree is the same in the main tree traversals; preorder, inorder, and postorder. Then, we prove that given the preorder and postorder traversals of a binary tree, the leaf (leaves) of a bi...

It is well-known that, given inorder traversal along with one of the preorder or postorder traversals of a binary tree, the tree can be determined uniquely. Several algorithms have been proposed to reconstruct a binary tree from its inorder and preorder traversals. There is one study to reconstruct a binary tree from its inorder and postorder traversals, and this algorithm takes running time of...

It is well-known that, given inorder traversal along with one of the preorder or postorder traversals of a binary tree, the tree can be determined uniquely. Several algorithms have been proposed to reconstruct a binary tree from its inorder and preorder traversals. There is one study to reconstruct a binary tree from its inorder and postorder traversals, and this algorithm takes running time of...

Proper noun pronuncia t ion genera t ion is a part icular ly chal lenging problem in speech recognition since a large percentage of proper nouns often defy typical letter-to-sound conversion rules. In this paper, we present decision tree methods which outperform neural network techniques. Using the decision tree method, we have achieved an overall error rate of 45.5%, which is a 35% reduction o...

Given nonnegative weights (wr, . . . , w,,), the well-known algorithm of Huffman [2] can be used to construct a binary tree with n external nodes and n 1 internal nodes, where the external nodes are labeled with the weights (wr, . . . , w,) in some order. Huffman’s tree has the minimum value of WJ, + * * . + w,,l, over all such binary trees, where lj is the level at which wj occurs in the tree....

We present new links between some remarkable martingales found in the study of the Binary Search Tree or of the bisection problem, looking at them on the probability space of a continuous time binary branching process.

Author(s): R. Kazemi and M. Q. Vahidi-Asl Abstract: What today we call digital search tree (DST) is Coffman and Eve’s sequence tree introduced in 1970. A digital search tree is a binary tree whose ordering of nodes is based on the values of bits in the binary representation of a node’s key. In fact, a digital search tree is a digital tree in which strings (keys, words) are stored directly in in...

We demonstrate the possibility of coding parts, features that are higher level than boundaries, using a modified AT field after augmenting the interaction term of the AT energy with a non-local term and weakening the separation into boundary/not-boundary phases. The iteratively extracted parts using the level curves with double point singularities are organized as a proper binary tree. Inconsis...