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arXiv · 1205.0344

Absolutely symmetric trees and complexity of natural number

B. S. Kochkarev
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Abstract

We consider the rooted trees which not have isomorphic representation and introduce a conception of complexity a natural number also. The connection between quantity such trees with $n$ edges and a complexity of natural number $n$ is established. The recurrent ratio for complexity of a natural number is founded. An expression for calculation of difference complexities of two adjacent natural numbers is constructed. It is proved that this difference equal 1 if and only if a natural number is simple. From proved theorems it follows corollaries.

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B. S. Kochkarev. 2012-05-02. Absolutely symmetric trees and complexity of natural number. https://arxiv.org/abs/1205.0344

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