More on Symmetric Brothers of a Node in a Perfect Binary Tree
Asian Research Journal of Mathematics · pp. 13–26 · Published 17 Aug 2021
10.9734/arjom/2021/v17i630305Abstract
The paper makes an extensive study on the symmetric brothers of a node in a perfect binary tree. Through proving several new properties of the symmetric brothers of a node, it reveals how the symmetric brothers and the symmetric ancestors distribute on the tree and how they are beneficial for designing a searching algorithm of special purpose. Detail mathematical reasoning and proofs are shown together with concrete examples to demonstrate the mathematical traits. The paper is helpful for designing algorithms in blind search related aspects.
Cited by 2
Xingbo Wang · International Conferences on Intelligent Information Technology · 2022
Yuanjie Guo, Kongfeng Zhu · Asian Research Journal of Mathematics · 2021
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