2 papers
math.CO2026
Rainbow trapezoids with given area
Sukumar Das Adhikari, Tássio Naia, Oriol Serra
A well-known result by Graham in Euclidean Ramsey Theory states that, for every positive real number , every coloring of the plane with finite number of colors contains a monoch…
math.CO2025
Homogeneous Patterns in Ramsey Theory
Sukumar Das Adhikari, Sayan Goswami
In this article, we investigate homogeneous versions of certain nonlinear Ramsey-theoretic results, with three significant applications. As the first application, we prove that for…