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arXiv · 0904.2043

Numerical Approach to Central Limit Theorem for Bifurcation Ratio of Random Binary Tree

Ken Yamamoto·Yoshihiro Yamazaki
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Abstract

A central limit theorem for binary tree is numerically examined. Two types of central limit theorem for higher-order branches are formulated. A topological structure of a binary tree is expressed by a binary sequence, and the Horton-Strahler indices are calculated by using the sequence. By fitting the Gaussian distribution function to our numerical data, the values of variances are determined and written in simple forms.

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Ken Yamamoto, Yoshihiro Yamazaki. 2009-04-15. Numerical Approach to Central Limit Theorem for Bifurcation Ratio of Random Binary Tree. https://doi.org/10.1088/1751-8113%2F42%2F41%2F415002

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