2006•Modern ComputerRequires access

Two Improved Algorithms for Constructing Binary Tree

Suping Zhao

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Abstract

In the data structure,the binary tree can be uniquely confirmed when the nodes sequences of this binary tree for preorder traversal and inorder traversal are knows. In this thesis, an algorithm of creating binary tree is analyzed. Two improved algorithms are given. The time complexity of the improved algorithm goes down from O(n2) to O(n).

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What this paper is about

In the data structure,the binary tree can be uniquely confirmed when the nodes sequences of this binary tree for preorder traversal and inorder traversal are knows. In this thesis, an algorithm of creating binary tree is analyzed. Two improved algorithms are given. The time complexity of the improved algorithm goes down from O(n2) to O(n).

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Available abstract

In the data structure,the binary tree can be uniquely confirmed when the nodes sequences of this binary tree for preorder traversal and inorder traversal are knows. In this thesis, an algorithm of creating binary tree is analyzed. Two improved algorithms are given. The time complexity of the improved algorithm goes down from O(n2) to O(n).

Key concepts: Tree traversal, Preorder, Computer science, Binary tree, Algorithm, Binary search tree, Tree (set theory), Binary number

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