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extremal space - перевод на русский
![The [[Petersen graph]] has chromatic number 3.](https://commons.wikimedia.org/wiki/Special:FilePath/Petersen graph 3-coloring.svg?width=200 "The [[Petersen graph]] has chromatic number 3.")
математика
экстремальное пространство
![A right-handed three-dimensional [[Cartesian coordinate system]] used to indicate positions in space<!--(See diagram description for needed correction.)-->](https://commons.wikimedia.org/wiki/Special:FilePath/3D coordinate system.svg?width=200 "A right-handed three-dimensional [[Cartesian coordinate system]] used to indicate positions in space<!--(See diagram description for needed correction.)-->")
![[[Cartesian coordinate system]]](https://commons.wikimedia.org/wiki/Special:FilePath/Coord XYZ.svg?width=200 "[[Cartesian coordinate system]]")
![[[Cylindrical coordinate system]]](https://commons.wikimedia.org/wiki/Special:FilePath/Cylindrical Coordinates.svg?width=200 "[[Cylindrical coordinate system]]")
![[[Spherical coordinate system]]](https://commons.wikimedia.org/wiki/Special:FilePath/Spherical Coordinates (Colatitude, Longitude).svg?width=200 "[[Spherical coordinate system]]")
математика
трехмерное пространство
- cipher space
- cipher text space
- code space
- cryptogram space
- cryptographlc space
- decision space
- interblock space
- key space
- linear space
- linear vector space
- message space
- observation space
- parameter space
- password space
- plaintext space
- probability space
- protected space
- sampie space
- search space
- security space
- solution space
- time-frequency space
- vector space
- vector space of dimension n
Определение
Википедия
Extremal graph theory is a branch of combinatorics, itself an area of mathematics, that lies at the intersection of extremal combinatorics and graph theory. In essence, extremal graph theory studies how global properties of a graph influence local substructure. Results in extremal graph theory deal with quantitative connections between various graph properties, both global (such as the number of vertices and edges) and local (such as the existence of specific subgraphs), and problems in extremal graph theory can often be formulated as optimization problems: how big or small a parameter of a graph can be, given some constraints that the graph has to satisfy? A graph that is an optimal solution to such an optimization problem is called an extremal graph, and extremal graphs are important objects of study in extremal graph theory.
Extremal graph theory is closely related to fields such as Ramsey theory, spectral graph theory, computational complexity theory, and additive combinatorics, and frequently employs the probabilistic method.
