Fernandes, Vítor HugoPaulista, Tânia2024-01-082024-01-0820231300-0098PURE: 80231555PURE UUID: c110bffa-90d0-4ffe-b1f6-bf88a3f3a5a8Scopus: 85173496305ORCID: /0000-0003-1057-4975/work/151428741http://hdl.handle.net/10362/162058Publisher Copyright: © TÜBİTAKIn this paper we consider the monoid DPCn of all partial isometries of an n-cycle graph Cn. We show that DPCn is the submonoid of the monoid of all oriented partial permutations on an n-chain whose elements are precisely all restrictions of a dihedral group of order 2n. Our main aim is to exhibit a presentation of DPCn. We also describe Green’s relations of DPCn and calculate its cardinality and rank.15304385engcycle graphsorientationpartial isometriespresentationsrankTransformationsGeneral Mathematicsjournal article10.55730/1300-0098.3460https://www.scopus.com/pages/publications/85173496305