# Continued fractions and orderings on the Markov numbers

```@article{Rabideau2018ContinuedFA,
title={Continued fractions and orderings on the Markov numbers},
author={Michelle Rabideau and Ralf Schiffler},
journal={arXiv: Combinatorics},
year={2018}
}```
• Published 22 January 2018
• Mathematics
• arXiv: Combinatorics
9 Citations
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N T ] 7 J un 2 02 1 A comment on the paper “ Continued fractions and orderings on the Markov numbers
We discuss the validity of the proof of the fixed numerator conjecture on Markov numbers, which is the main result of the paper mentioned in the title. 2010 Mathematics Subject Classification: 11A55,
N T ] 2 3 M ay 2 02 1 A comment on the paper “ Continued fractions and orderings on the Markov numbers
We discuss the validity of the proof of the fixed numerator conjecture on Markov numbers, which is the main result of the paper mentioned in the title. 2010 Mathematics Subject Classification: 11A55,
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. Using the Markov distance and Ptolemy inequality introduced by Lee-Li-Rabideau-Schiﬄer , we completely determine the monotonicity of the generalized Markov numbers along the lines of a given
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