[HTML][HTML] A New Proof of Ramsey's Theorem

JJ Ludew, B Oliynyk, M Różański, A Samulewicz… - Symmetry, 2024 - mdpi.com
Ramsey's theorem states that for any natural numbers n, m there exists a natural number N
such that any red–blue coloring of the graph KN contains either a red K n or blue K m as a …

Infinite Ramsey-minimal graphs for star forests

FF Hadiputra, V Vito - Graphs and Combinatorics, 2024 - Springer
For graphs F, G, and H, we write F→(G, H) if every red-blue coloring of the edges of F
produces a red copy of G or a blue copy of H. The graph F is said to be (G, H)-minimal if it is …