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Combinatorial species

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  1. In combinatorial mathematics, the theory of combinatorial species is an abstract, systematic method for analysing discrete structures in terms of generating functions

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  2. Examples of discrete structures are (finite) graphs, permutations, trees, and so on; each of these has an associated generating function which counts how many structures there are of a certain size

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  3. One goal of species theory is to be able to analyse complicated structures by describing them in terms of transformations and combinations of simpler structures

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  4. These operations correspond to equivalent manipulations of generating functions, so producing such functions for complicated structures is much easier than with other methods

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  5. The theory was introduced by André Joyal

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
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