Symmetry of topographs of Markoff forms

DOI10.1142/S1793042120500839zbMath1458.11110OpenAlexW3011446614MaRDI QIDQ3303489

I. R. Aitchison, Ryuji Abe

Publication date: 11 August 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042120500839

zbMATH Keywords

planar graphstopographMarkoff spectrumMarkoff numbersFarey diagram

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Minima of forms (11H50)

Cites Work

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• On palindromes with three or four letters associated to the Markoff spectrum
• On Markoff's property and Sturmian words
• Markoff forms and primitive words
• Approach to Markoff's minimal forms through modular functions
• Two-color Markoff graph and minimal forms
• Minimum of quadratic forms with respect to Fuchsian groups. I.
• A Proof of McShane's Identity Via Markoff Triples
• Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
• On correspondences between once punctured tori and closed tori: Fricke groups and real lattices

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