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On the monotonicity of the generalized Markov numbers
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On the monotonicity of the generalized Markov numbers
classification
math.NT
math.CO
keywords
markovgeneralizedmonotonicitynumbersalongcitecompletelydetermine
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Using the Markov distance and Ptolemy inequality introduced by Lee-Li-Rabideau-Schiffler \cite{LLRS}, we completely determine the monotonicity of the generalized Markov numbers along the lines of a given slope.
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Cited by 1 Pith paper
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Orderings of Generalized k-Markov Numbers
Generalized k-Markov numbers grow monotonically along more random lines as k increases, supporting a k-analog of Frobenius' uniqueness conjecture.
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