Search for "Ramsey theory" in article titles:

1. Ramsey theory: Ramsey Theory is a branch of Graph theory which studies seemingly orderless systems and analyses the conditions under which order must be present. Typically it makes statements about the existence of specific sub-graphs in arbitrary graphs. [100%] 2023-06-18
2. Ramsey theory: Ramsey theory is a branch of mathematics that studies the conditions under which order must appear. It is named after the British mathematician and philosopher Frank P. [100%] 2023-02-15 [Mathematics]
3. Structural Ramsey theory: In mathematics, structural Ramsey theory is a categorical generalisation of Ramsey theory, rooted in the idea that many important results of Ramsey theory have "similar" logical structure. The key observation is noting that these Ramsey-type theorems can be expressed ... [81%] 2023-07-20 [Category theory] [Ramsey theory]...
4. Ergodic Ramsey theory: Ergodic Ramsey theory is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory. Ergodic Ramsey theory arose shortly after Endre Szemerédi's proof that a set of positive upper density contains arbitrarily long arithmetic ... [81%] 2023-12-20 [Ergodic theory] [Ramsey theory]...
5. Zero-sum Ramsey theory: In mathematics, zero-sum Ramsey theory or zero-sum theory is a branch of combinatorics. It deals with problems of the following kind: given a combinatorial structure whose elements are assigned different weights (usually elements from an Abelian group \displaystyle ... (Study of structures where a subset must sum to zero) [81%] 2024-10-12 [Ramsey theory]
6. Ramsey-Turán theory: Ramsey-Turán theory is a subfield of extremal graph theory. It studies common generalizations of Ramsey's theorem and Turán's theorem. [81%] 2024-08-28 [Graph theory]
7. Large set (Ramsey theory): In Ramsey theory, a set S of natural numbers is considered to be a large set if and only if Van der Waerden's theorem can be generalized to assert the existence of arithmetic progressions with common difference in S ... (Ramsey theory) [70%] 2023-12-25 [Basic concepts in set theory] [Ramsey theory]...
8. Large set (Ramsey theory): In Ramsey theory, a set S of natural numbers is considered to be a large set if and only if Van der Waerden's theorem can be generalized to assert the existence of arithmetic progressions with common difference in S ... (Ramsey theory) [70%] 2023-08-21 [Basic concepts in set theory] [Ramsey theory]...