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Что (кто) такое enumeration$25299$ - определение
CLASS OF COMBINATORIAL ENUMERATION PROBLEMS
Graphical enumeration; Enumeration of graphs
![free trees]] on 2, 3, and 4 labeled vertices: <math>2^{2-2}=1</math> tree with 2 vertices,
<math>3^{3-2}=3</math> trees with 3 vertices, and <math>4^{4-2}=16</math> trees with 4 vertices.](https://commons.wikimedia.org/wiki/Special:FilePath/Cayley's formula 2-4.svg?width=200 "free trees]] on 2, 3, and 4 labeled vertices: <math>2^{2-2}=1</math> tree with 2 vertices,
<math>3^{3-2}=3</math> trees with 3 vertices, and <math>4^{4-2}=16</math> trees with 4 vertices.")
Graph enumeration
In combinatorics, an area of mathematics, graph enumeration describes a class of combinatorial enumeration problems in which one must count undirected or directed graphs of certain types, typically as a function of the number of vertices of the graph. These problems may be solved either exactly (as an algebraic enumeration problem) or asymptotically.
Vertex enumeration problem
Enumerating the vertices; Vertex enumeration; Vertex Enumeration
In mathematics, the vertex enumeration problem for a polytope, a polyhedral cell complex, a hyperplane arrangement, or some other object of discrete geometry, is the problem of determination of the object's vertices given some formal representation of the object. A classical example is the problem of enumeration of the vertices of a convex polytope specified by a set of linear inequalities:Eric W.
Chomsky–Schützenberger enumeration theorem
ON THE NUMBER OF WORDS OF A GIVEN LENGTH GENERATED BY AN UNAMBIGUOUS CONTEXT-FREE GRAMMAR
Chomsky-Schützenberger enumeration theorem; Chomsky–Schutzenberger enumeration theorem; Chomsky-Schutzenberger enumeration theorem
In formal language theory, the Chomsky–Schützenberger enumeration theorem is a theorem derived by Noam Chomsky and Marcel-Paul Schützenberger about the number of words of a given length generated by an unambiguous context-free grammar. The theorem provides an unexpected link between the theory of formal languages and abstract algebra.
Википедия
Graph enumeration
In combinatorics, an area of mathematics, graph enumeration describes a class of combinatorial enumeration problems in which one must count undirected or directed graphs of certain types, typically as a function of the number of vertices of the graph. These problems may be solved either exactly (as an algebraic enumeration problem) or asymptotically. The pioneers in this area of mathematics were George Pólya, Arthur Cayley and J. Howard Redfield.
