2001Journal of North China Institute of TechnologyRequires access

The Proof and Realization of Uniqueness in Constructing Binary Tree

Jing Liu

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Abstract

Aim To reveal the relationship between a binary tree and its traversal sequence. Methods Mathematic induction method is used. Results and Conclusion The preorder traversal sequence and midorder traversal sequence can be used to contruct a binary tree uniquely. Moreover, the program in VC is given.

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Aim To reveal the relationship between a binary tree and its traversal sequence. Methods Mathematic induction method is used. Results and Conclusion The preorder traversal sequence and midorder traversal sequence can be used to contruct a binary tree uniquely. Moreover, the program in VC is given.

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Available abstract

Aim To reveal the relationship between a binary tree and its traversal sequence. Methods Mathematic induction method is used. Results and Conclusion The preorder traversal sequence and midorder traversal sequence can be used to contruct a binary tree uniquely. Moreover, the program in VC is given.

Key concepts: Tree traversal, Preorder, Binary expression tree, Graph traversal, Binary tree, Sequence (biology), Binary number, Uniqueness

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