2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220149The graded reflection equation is investigated for the $U_{q}[osp(r|2m)^{(1)}]$ vertex model. We have found four classes of diagonal solutions with at the most one free parameter and twelve classes of non-diagonal ones with the number of free parameters depending on the number of bosonic ($r$) and fermionic ($2m$) degrees of freedom.33 pages, LaTex, corrected some misprints, appendix and references addedExactly Solvable and Integrable SystemsHigh Energy Physics - Theorytext