English

On the monotonicity of the generalized Markov numbers

Number Theory 2022-04-27 v2 Combinatorics

Abstract

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.

Keywords

Cite

@article{arxiv.2204.11443,
  title  = {On the monotonicity of the generalized Markov numbers},
  author = {Min Huang},
  journal= {arXiv preprint arXiv:2204.11443},
  year   = {2022}
}