Add to ORKGAs usual, for graphs Γ, G, and H, we write Γ → (G,H) to mean that any red-blue colouring of the edges of Γ contains a red copy of G or a blue copy of H. A pair of graphs (G,H) is said to be Ramsey-infinite if there are infinitely many minimal graphs Γ for which we have Γ → (G,H). Let ` ≥ 4 be an integer. We show that if H is a 2-connected graph that does not contain induced cycles of length at least `, then the pair (Ck,H) is Ramsey-infinite for any k ≥ `, where Ck denotes the cycle of length k
AbstractLet G be a countable graph which has infinite chromatic number. Ifγis a coloring of [G]2with...
AbstractIt is shown that if G and H are star-forests with no single edge stars, then (G, H) is Ramse...
Abstract. A graph G is r-ramsey-minimal with respect to Kk if every rcolouring of the edges of G yie...
As usual, for graphs Γ, G, and H, we write Γ → (G, H) to mean that any red-blue colouring of the edg...
In this paper it is proved that (G, K,,,) is Ramsey-infinite for any non-trivial two-connected graph...
AbstractFor any graphs G and H, we write F → (G, H) to means that in any red-blue coloring of all th...
AbstractIt is shown in this paper that the pair (G,H) is Ramsey infinite when both G and H are fores...
AbstractFor graphs G,F and H we write G→(F,H) to mean that if the edges of G are coloured with two c...
If G and H are graphs, the pair (G, H) are said to be Ramsey-infinite if there are infinitely many m...
Let F be a graph and let G, H denote nonempty families of graphs. We write F → (G,H) if in any 2-col...
Let F be a graph and let , denote nonempty families of graphs. We write F → (,) if in any 2-coloring...
A graph G is Ramsey for H if every two-colouring of the edges of G contains a monochromatic copy of ...
Let F , G , and H be simple graphs. We write F → (G , H) to mean that any red–blue coloring of all ...
Let $F, G,$ and $H$ be non-empty graphs. The notation $F \rightarrow (G,H)$ means that if all edges ...
Abstract. For graphs F and H, we say F is Ramsey for H if every 2-coloring of the edges of F contain...
AbstractLet G be a countable graph which has infinite chromatic number. Ifγis a coloring of [G]2with...
AbstractIt is shown that if G and H are star-forests with no single edge stars, then (G, H) is Ramse...
Abstract. A graph G is r-ramsey-minimal with respect to Kk if every rcolouring of the edges of G yie...
As usual, for graphs Γ, G, and H, we write Γ → (G, H) to mean that any red-blue colouring of the edg...
In this paper it is proved that (G, K,,,) is Ramsey-infinite for any non-trivial two-connected graph...
AbstractFor any graphs G and H, we write F → (G, H) to means that in any red-blue coloring of all th...
AbstractIt is shown in this paper that the pair (G,H) is Ramsey infinite when both G and H are fores...
AbstractFor graphs G,F and H we write G→(F,H) to mean that if the edges of G are coloured with two c...
If G and H are graphs, the pair (G, H) are said to be Ramsey-infinite if there are infinitely many m...
Let F be a graph and let G, H denote nonempty families of graphs. We write F → (G,H) if in any 2-col...
Let F be a graph and let , denote nonempty families of graphs. We write F → (,) if in any 2-coloring...
A graph G is Ramsey for H if every two-colouring of the edges of G contains a monochromatic copy of ...
Let F , G , and H be simple graphs. We write F → (G , H) to mean that any red–blue coloring of all ...
Let $F, G,$ and $H$ be non-empty graphs. The notation $F \rightarrow (G,H)$ means that if all edges ...
Abstract. For graphs F and H, we say F is Ramsey for H if every 2-coloring of the edges of F contain...
AbstractLet G be a countable graph which has infinite chromatic number. Ifγis a coloring of [G]2with...
AbstractIt is shown that if G and H are star-forests with no single edge stars, then (G, H) is Ramse...
Abstract. A graph G is r-ramsey-minimal with respect to Kk if every rcolouring of the edges of G yie...