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Analytic Formulas to Calculate Symmetric Brothers of a Node in a Perfect Binary Tree

Author

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  • Xingbo WANG
  • Zhen SHEN

Abstract

The paper puts forward and solves the problem of calculating the symmetric brother nodes of a given node in a perfect binary tree. By analyzing the relationships between a node and its ancestors, the position at which a node lies in term of the subtree rooted by an ancestor is expressed with a mathematical formula and consequently the mathematical formula to express its symmetric nodes is derived out. The formulas enable an easy calculation of a node and its symmetric nodes in the perfect binary tree.

Suggested Citation

  • Xingbo WANG & Zhen SHEN, 2018. "Analytic Formulas to Calculate Symmetric Brothers of a Node in a Perfect Binary Tree," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(5), pages 45-48, October.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:5:p:45
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    More about this item

    Keywords

    perfect binary tree; symmetric node; calculation;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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