Add to ORKGn.+ (u): is the well known arrow symbol introduced by ERD~S and RADO [l]. It means that if we color the edges of a complete graph of n vertices, L,, by fi colors there is always a k, whose edges all have the same color. The symbol n + [v]: introduced by ERD~S, HAJNAL and RADO [2] means that if we color the edges of a k, by k: colors there is always a i&, whose edges contain only L- 1 colors. These symbols were studied extensively for infinite cardinals in [l] and [2]. In this paper we will only consider finite n. It is well known ([3], [4]) tha
AbstractThe symbol n → (u)k means that if the edges of a complete graph on n vertices are colored ar...
A copy of a graph H in an edge colored graph G is called rainbow if all edges of H have distinct col...
AbstractFor a graph F and natural numbers a1,…,ar, let F→(a1,…,ar) denote the property that for each...
A simple form of Ramsey's theorem says that for any positive integer $m$, there exists an $n=R(m)$ s...
A simple form of Ramsey's theorem says that for any positive integer $m$, there exists an $n=R(m)$ s...
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1...
A subgraph of an edge-colored graph is rainbow if all of its edges have dierent colors. For a graph ...
The classical canonical Ramsey theorem of Erdos and Rado states that, for any integer q ≥ 1, any edg...
AbstractWe improve the previous bounds on the so-called unordered Canonical Ramsey numbers, introduc...
A subgraph of an edge-colored graph is rainbow if all of its edges have different colors. For a grap...
AbstractThe Ramsey number r(G) of a graph G is the minimum N such that every red–blue coloring of th...
The Erdős–Szekeres Theorem stated in terms of graphs says that any red–blue coloring of the edges of...
For fixed (Formula presented.) and (Formula presented.), an edge-coloring of the complete graph (For...
We study two problems in graph Ramsey theory. In the early 1970s, Erdős and O'Neil considered a...
Given a graph L, in this paper we investigate the anti-Ramsey number S (n; e; L), de ned to be th...
AbstractThe symbol n → (u)k means that if the edges of a complete graph on n vertices are colored ar...
A copy of a graph H in an edge colored graph G is called rainbow if all edges of H have distinct col...
AbstractFor a graph F and natural numbers a1,…,ar, let F→(a1,…,ar) denote the property that for each...
A simple form of Ramsey's theorem says that for any positive integer $m$, there exists an $n=R(m)$ s...
A simple form of Ramsey's theorem says that for any positive integer $m$, there exists an $n=R(m)$ s...
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1...
A subgraph of an edge-colored graph is rainbow if all of its edges have dierent colors. For a graph ...
The classical canonical Ramsey theorem of Erdos and Rado states that, for any integer q ≥ 1, any edg...
AbstractWe improve the previous bounds on the so-called unordered Canonical Ramsey numbers, introduc...
A subgraph of an edge-colored graph is rainbow if all of its edges have different colors. For a grap...
AbstractThe Ramsey number r(G) of a graph G is the minimum N such that every red–blue coloring of th...
The Erdős–Szekeres Theorem stated in terms of graphs says that any red–blue coloring of the edges of...
For fixed (Formula presented.) and (Formula presented.), an edge-coloring of the complete graph (For...
We study two problems in graph Ramsey theory. In the early 1970s, Erdős and O'Neil considered a...
Given a graph L, in this paper we investigate the anti-Ramsey number S (n; e; L), de ned to be th...
AbstractThe symbol n → (u)k means that if the edges of a complete graph on n vertices are colored ar...
A copy of a graph H in an edge colored graph G is called rainbow if all edges of H have distinct col...
AbstractFor a graph F and natural numbers a1,…,ar, let F→(a1,…,ar) denote the property that for each...