1 citations · 1 across the 4 of their papers we have counts for
4 papers
Enumeration of monochromatic three term arithmetic progressions in two-colorings of any finite group
Erik Sjöland
There are many extremely challenging problems about existence of monochromatic arithmetic progressions in colorings of groups. Many theorems hold only for abelian groups as results…
Using real algebraic geometry to solve combinatorial problems with symmetries
Erik Sjöland
Many combinatorial problems can be formulated as a polynomial optimization problem that can be solved by state-of-the-art methods in real algebraic geometry. In this paper we expla…
Enumeration of three term arithmetic progressions in fixed density sets
Erik Sjöland
Additive combinatorics is built around the famous theorem by Szemerédi which asserts existence of arithmetic progressions of any length among the integers. There exist several diff…
Enumeration of monochromatic three term arithmetic progressions in two-colorings of cyclic groups
Erik Sjöland
One of the toughest problems in Ramsey theory is to determine the existence of monochromatic arithmetic progressions in groups whose elements have been colored. We study the harder…