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SODA
2010
ACM
196views Algorithms» more  SODA 2010»
15 years 7 months ago
Deletion Without Rebalancing in Balanced Binary Trees
We address the vexing issue of deletions in balanced trees. Rebalancing after a deletion is generally more complicated than rebalancing after an insertion. Textbooks neglect delet...
Siddhartha Sen, Robert E. Tarjan
ALGORITHMICA
2002
109views more  ALGORITHMICA 2002»
14 years 9 months ago
A Near-Linear Area Bound for Drawing Binary Trees
We present several simple methods to construct planar, strictly upward, strongly order-preserving, straight-line drawings of any n-node binary tree. In particular, it is shown that...
Timothy M. Chan
SODA
1996
ACM
140views Algorithms» more  SODA 1996»
14 years 11 months ago
An O(n log n) Algorithm for the Maximum Agreement Subtree Problem for Binary Trees
The Maximum Agreement Subtree problem is the following: given two rooted trees whose leaves are drawn from the same set of items (e.g., species), find the largest subset of these i...
Richard Cole, Ramesh Hariharan
APLAS
2003
ACM
15 years 2 months ago
Rebuilding a Tree from Its Traversals: A Case Study of Program Inversion
Given the inorder and preorder traversal of a binary tree whose labels are all distinct, one can reconstruct the tree. This article examines two existing algorithms for rebuilding ...
Shin-Cheng Mu, Richard S. Bird
TOC
2008
75views more  TOC 2008»
14 years 9 months ago
A Quantum Algorithm for the Hamiltonian NAND Tree
Abstract: We give a quantum algorithm for the binary NAND tree problem in the Hamiltonian oracle model. The algorithm uses a continuous time quantum walk with a running time propor...
Edward Farhi, Jeffrey Goldstone, Sam Gutmann