Ramsey theory

Ramsey theory - the study of the conditions in which order must appear.

Ramsey theory shows that at most five persons can attend such a party.

Conlon is well known for his work in Ramsey theory.

In just one week, from a cold start, she had a major result in Ramsey theory.

Theorems in Ramsey theory are generally one of the two types.

This was one of the original results that led to the development of Ramsey theory.

His 1977 paper considered a problem in Ramsey theory, and gave a "large number" as an upper bound for its solution.

Graham was solving a problem in an area of mathematics called Ramsey theory.

Ramsey theory shows that no game of Sim can end in a tie.

Arises as an upper bound solution to a problem in Ramsey theory.

A typical result in Ramsey theory starts with some mathematical structure that is then cut into pieces.

Results in Ramsey theory typically have two primary characteristics.

Because of the simplest case of Ramsey theory, one team or the other would have to win.

Ramsey theory is sometimes characterized as the study of which collections are partition regular.

Graham's number is connected to the following problem in Ramsey theory:

Ramsey theory is an area of mathematics that asks questions like the following:

Ramsey theory, for an interesting and important notion of "unavoidable coincidences"

Many of his subsequent publications involve problems from the field of Ramsey theory.

Graham's number, one of the largest numbers ever used in serious mathematical proof, is an upper bound for a problem related to Ramsey theory.

In Ramsey theory, we write this fact as:

The quote "complete disorder is impossible," describing Ramsey theory is attributed to him.

For a gentler introduction see Ramsey theory.

Ramsey theory is another part of extremal combinatorics.

For example, there are q-analogs of Sperner's theorem and Ramsey theory.

Of his contributions, the development of Ramsey theory and the application of the probabilistic method especially stand out.