2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75942Recently Akhmedov introduced a property of finitely generated groups called the Traveller Salesman Property (TSP). It was shown by Thurston that TSP implies non-amenability. Akhmedov conjectured that R. Thompson's group $F$ has TSP. The aim of this article is to disprove this conjecture.8 pagesGroup Theory20F32 05C25Traveller Salesman Property and Richard Thompson's Group $F$text