Year: 2022
Type: conference-paper
Abstract: Given a linear equation E, the k-color Rado number Rk(E) is the smallest integer n such that every k-coloring of {1,2,3,...,n} contains a monochromatic solution to E. The degree of regularity of E, denoted dor(E), is the largest value k such that Rk(E) is finite. In this article we present new theoretical and computational results about the Rado numbers R3(E) and the degree of regularity of three-variable equations E.
Institution: University of California, Davis
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: National Science Foundation
OpenAlex ID: W4283821071