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Ramsey Results for n-Cube Structures by Kelvyn Páterson is a document available to read on EtoBox.

What is Ramsey Results for n-Cube Structures about?

This document summarizes some Ramsey-type results for subsets of the n-dimensional cube. It establishes that for any r and m, there exists an n0 such that if n is greater than or equal to n0 and the points of the n-dimensional cube are r-colored, then there will always be a monochromatic binary tree with m levels. It also shows this technique can be applied to obtain bounds on related structures like partial Hales-Jewett lines, Hilbert cubes in sets with small sumsets, and 3-term integer geometric progressi

Author

Kelvyn Páterson

Language

EN