In this paper new proofs of the Canonical Ramsey Theorem, which originally has been proved by Erdős and Rado, are given. These yield improvements over.
Sep 17, 2024 · We show that \text{CR}(s,r) = O(r^3/\log r)^{s-2}, which, up to the multiplicative constant, matches the known lower bound and improves the previously best ...
In this paper new proofs of the Canonical Ramsey Theorem, which originally has been proved by ErdSs and Rado, are given. These yield improvements over the ...
New proofs of the Canonical Ramsey Theorem are given and new bounds, lower and upper, for the numbersER(k; l) for arbitrary positive integersk, l are given.
In this paper new proofs of the Canonical Ramsey Theorem, which originally has been proved by Erdős and Rado, are given.
The Erdős–Rado theorem is a basic result extending Ramsey's theorem to uncountable sets. It is named after Paul Erdős and Richard Rado.
The Rado graph, Erdős–Rényi graph, or random graph is a countably infinite graph that can be constructed (with probability one) by choosing independently at ...
Oct 11, 2024 · In this paper we extend this line of research by studying Erdős-Rado numbers of sparse graphs. For example, we prove that if H has bounded degree, then ER(H) ...
F. P. Ramsey (1) proved the following theorem. Let 7~ be a positive integer, and let A be an arbitrary distribution of all sets of n positive integers.
Article,. On Erdös-Rado Numbers. H. Lefmann, and V. Rödl. Combinatorica ...