Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagrammatic description of c-vectors and d-vectors of cluster algebras
  of finite type   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.

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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph