Analysis on Constructing Binary Tree Algorithms
Miao Zhang
Abstract
Miao Zhang
Abstract
Creating and traversing an binary tree have always been the indispensable contents in data structure.The classical Algorithms of Constructing Binary Tree is usually on the basis of traversing-binary tree.The precondition is given the condition of left or right child of binary tree node,or pre-order traversal sequence and in-order traversal sequence,or in-order traversal sequence and post-order traversal sequence to ascertain the only one binary tree.Through the analysis on the structure characteristics of Binary Tree,three different algorithms on Constructing Binary Tree can be put forward and analyzed.
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Creating and traversing an binary tree have always been the indispensable contents in data structure.The classical Algorithms of Constructing Binary Tree is usually on the basis of traversing-binary tree.The precondition is given the condition of left or right child of binary tree node,or pre-order traversal sequence and in-order traversal sequence,or in-order traversal sequence and post-order traversal sequence to ascertain the only one binary tree.Through the analysis on the structure characteristics of Binary Tree,three different algorithms on Constructing Binary Tree can be put forward and analyzed.
Key concepts: Tree traversal, Optimal binary search tree, Binary tree, Binary expression tree, Random binary tree, Self-balancing binary search tree, Interval tree, Tree (set theory)