%0 Journal Article
%T Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type
%A Tomoki Nakanishi
%A Salvatore Stella
%J Mathematics
%D 2012
%I arXiv
%X We provide an explicit Dynkin diagrammatic description of the c-vectors and the d-vectors (the denominator vectors) of any cluster algebra of finite type with principal coefficients and any initial exchange matrix. We use the surface realization of cluster algebras for types A_n and D_n, then we apply the folding method to D_{n+1} and A_{2n-1} to obtain types B_n and C_n. Exceptional types are done by direct inspection with the help of a computer algebra software. We also propose a conjecture on the root property of c-vectors for a general cluster algebra.
%U http://arxiv.org/abs/1210.6299v4