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Symbolic combinatorics
[Procedure] or symbolic, relations translate directly into algebraic relations involving the generating functions.
Algebra
[Relationship with other fields] mathematical logic, category theory, domain theory, and algebra
Computer science
[Computing] tag system, in computer science, a simple undecidable problem first stated by and proved undecidable by Emil Post
Tag
 
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Symbolic combinatorics
Symbolic combinatorics is a technique of analytic combinatorics (a sub-branch of combinatorics) that uses symbolic representations of
Analytic combinatorics
analytic combinatorics attempts to describe the asymptotic behavior of a counting sequence using algebraic
Asymptotic analysis
In mathematics and applications, particularly the analysis of algorithms, asymptotic analysis is a method of classifying
Analysis of algorithms
[Fields of computer science / Algorithms and data structures]
Analysis of algorithms
Computer science
[Computing] tag system, in computer science, a simple undecidable problem first stated by and proved undecidable by Emil Post
Tag
 
3
Symbolic combinatorics
[Unlabelled structures / Examples] For example, the class of plane trees (the order of the subtrees matters) is specified by the recursive
Plane tree
For plane trees in mathematics, see tree (graph theory)
Tree (graph theory)
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Computer science
[Computing] tag system, in computer science, a simple undecidable problem first stated by and proved undecidable by Emil Post
Tag
 
4
Symbolic combinatorics
(a sub-branch of combinatorics) that uses symbolic representations of combinatorial classes to derive their generating functions
Combinatorial class
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Tree (graph theory)
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Computer science
[Computing] tag system, in computer science, a simple undecidable problem first stated by and proved undecidable by Emil Post
Tag
 
5
Symbolic combinatorics
The underlying mathematics, including the Polya enumeration theorem, are explained on the page of the
Pólya enumeration theorem
[Example computation: enumerating rooted ternary trees] of rooted ternary trees consists of rooted trees where every node has exactly three children. Small ternary trees are shown at right.
Tree (graph theory)
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Computer science
[Computing] tag system, in computer science, a simple undecidable problem first stated by and proved undecidable by Emil Post
Tag