Alfaya Sánchez, David Calvo Pascual, Luis Ángel Cazorla García, Pedro-José Rodrigo Hitos, Javier Srinivasan, Anitha 2026-04-07T17:17:32Z 2026-04-07T17:17:32Z http://hdl.handle.net/11531/109467 We study infinite paths of Markoff m-triples, that is, solutions to the generalised Markoff equationx2 + y2 + z2 = 3xyz + m,with m > 0, with at least two k-Fibonacci components. First, we obtain a complete classification of Markoff m-triples whose last two entries are k-Fibonacci numbers and that are not roots of any Markoff trees. [...] We study infinite paths of Markoff m-triples, that is, solutions to the generalised Markoff equationx2 + y2 + z2 = 3xyz + m,with m > 0, with at least two k-Fibonacci components. First, we obtain a complete classification of Markoff m-triples whose last two entries are k-Fibonacci numbers and that are not roots of any Markoff trees. [...] application/pdf en-GB Branches of markoff m-triples with two k-ibonacci components info:eu-repo/semantics/workingPaper info:eu-repo/semantics/draft info:eu-repo/semantics/restrictedAccess Markoff triples, generalised Markoff equation, generalised Fibonacci solutions. Markoff triples, generalised Markoff equation, generalised Fibonacci solutions.