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It was shown by Bongartz and Gabriel that the classification of simplyconnected algebras (i.e. finite-dimensional, basic, of finite representation type and with a simply-connected Auslander-Reiten graph) can be reduced to the study of certain numerical functions, called gradings, operating on a tree. Here, we classify in terms of their bounden species the simply-connected algebras arising from gradings of the Dynkin trees      B n {{\mathbf {B}}_n}       and      C n {{\mathbf {C}}_n}      , and show that these are exactly the tilted algebras of types      B n {{\mathbf {B}}_n}       and      C n {{\mathbf {C}}_n}      , respectively.

Gradings of 𝐵_{𝑛} and 𝐶_{𝑛} of finite representation type