Dec 16, 2024 · 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 K N contains either a red ...

Dec 21, 2024 · The Ramsey–Cass–Koopmans model, or Ramsey growth model, is a neoclassical model of economic growth based primarily on the work of Frank P. Ramsey.

Dec 12, 2024 · We further prove two extensions of this result. In the first, we provide a large set A of non-self-orthogonal vectors of F d such that for every two subsets of ...

Dec 19, 2024 · These include a compactness principle and a uniformity principle for density Ramsey theory on countable cancellative left amenable semigroups, as well as the ...

8 days ago · We discuss the externally definable Ramsey property, a weakening of the Ramsey property for relational structures, where the only colourings considered are ...

Dec 21, 2024 · In Section 3.1, we investigated the ordered Gallai-Ramsey numbers involving a rainbow tri- angle versus a monochromatic path (see Theorems 3.2 and 3.3) or a ...

Dec 18, 2024 · Here we consider a problem on induced-size-Ramsey numbers, combining two well-studied extensions of the classical graph Ramsey problem, in which one colours ...

Dec 14, 2024 · The main theorem we prove is: Suppose F is a hereditary family of graphs, and let G be a graph not a member of F . (1) If ...

Dec 5, 2024 · A fair dominating set in a graph G (or FD-set) is a dominating set S such that all vertices not in S are dominated by the same number of vertices from S; ...

Dec 9, 2024 · Bunkbed Conjecture: The probability that vertices u(1) and v(1) are connected is greater or equal than the probability that vertices u(1) and v(2) are connected ...