Effective Scalar Product of Differentiably Finite Symmetric Functions
نویسندگان
چکیده
Many enumerative problems can be expressed using the scalar product of symmetric functions. As we shall see, we can set up expressions for the generating functions of objects which possess a certain kind of regularity as a scalar product. Two examples of this are k-regular graphs (graphs in which each vertex is of degree k), and secondly we have a class of semi-standard Young tableaux in which each entry appears k times. The generating series for these are respectively given by:
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