  We continue the study of root-theoretic Young diagrams (RYDs) from
[Searles-Yong '13]. We provide an RYD formula for the $GL_n$ Belkale-Kumar
product, after [Knutson-Purbhoo '11], and we give a translation of the indexing
set of [Buch-Kresch-Tamvakis '09] for Schubert varieties of non-maximal
isotropic Grassmannians into RYDs. We then use this translation to prove that
the RYD formulas of [Searles-Yong '13] for Schubert calculus of the classical
(co)adjoint varieties agree with the Pieri rules of [Buch-Kresch-Tamvakis '09],
which were needed in the proofs of the (co)adjoint formulas.
