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The (u,v)-Calkin-Wilf Forest
Han, Sandie...
The (u,v)-Calkin-Wilf Forest by Han, Sandie ( Author )
N.A
06-11-2014
In this paper we consider a refinement, due to Nathanson, of the Calkin-Wilf tree. In particular, we study the properties of such trees associated with the matrices Lu=[1u01] and Rv=[10v1], where u and v are nonnegative integers. We extend several known results of the original Calkin-Wilf tree, including the symmetry, numerator-denominator, and successor formulas, to this new setting. Additionally, we study the ancestry of a rational number appearing in a generalized Calkin-Wilf tree.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1411.1747
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