Add to ORKGWe prove that for every ℓ, r ≥ 3, there exists c > 0 such that for (image found), with high probability there is a 2-edge-colouring of the random graph Gn,p with no monochromatic copy of Kr of the first colour and no monochromatic copy of Cℓ of the second colour. This is a progress on a conjecture of Kohayakawa and Kreuter
We determine the Ramsey number of a connected clique matching. That is, we show that if GG is a 22-e...
AbstractRecently, Rödl and Ruciński [5,6] proved the following threshold result about Ramsey propert...
We consider the problem of k-colouring a random r-uniform hypergraph with n vertices and cn edges, w...
We say thatG→(F,H)if, in every edge coloringc∶E(G)→{1,2}, we can find either a 1-colored copy ofFor ...
Consider the following problem: Forgiven graphs G and F(1),..., F(k), find a coloring of the edges o...
Consider the following problem: For given graphs G and F1,..., Fk, find a coloring of the edges of G...
In this note, we investigate for various pairs of graphs $(H,G)$ the question of how many random edg...
A graph G is Ramsey for a pair of graphs (F 1 , F 2 ) if in every 2-edge-colouring of G, one can find...
A well‐known result of Rödl and Ruciński states that for any graph H there exists a constant C such ...
Ramsey's Theorem guarantees for every graph H that any 2-edge-coloring of a sufficiently large compl...
Extending an earlier conjecture of Erd\H{o}s, Burr and Rosta conjectured that among all two-coloring...
A graph $H$ is said to be common if the number of monochromatic labelled copies of $H$ in a red/blue...
We show that in every two-colouring of the edges of the complete graph K_N there is a monochromatic ...
AbstractLetK(k)(n,p) be the randomk-uniform hypergraph obtained by independent inclusion of each of ...
A graph $H$ is common if the number of monochromatic copies of $H$ in a 2-edge-colouring of the comp...
We determine the Ramsey number of a connected clique matching. That is, we show that if GG is a 22-e...
AbstractRecently, Rödl and Ruciński [5,6] proved the following threshold result about Ramsey propert...
We consider the problem of k-colouring a random r-uniform hypergraph with n vertices and cn edges, w...
We say thatG→(F,H)if, in every edge coloringc∶E(G)→{1,2}, we can find either a 1-colored copy ofFor ...
Consider the following problem: Forgiven graphs G and F(1),..., F(k), find a coloring of the edges o...
Consider the following problem: For given graphs G and F1,..., Fk, find a coloring of the edges of G...
In this note, we investigate for various pairs of graphs $(H,G)$ the question of how many random edg...
A graph G is Ramsey for a pair of graphs (F 1 , F 2 ) if in every 2-edge-colouring of G, one can find...
A well‐known result of Rödl and Ruciński states that for any graph H there exists a constant C such ...
Ramsey's Theorem guarantees for every graph H that any 2-edge-coloring of a sufficiently large compl...
Extending an earlier conjecture of Erd\H{o}s, Burr and Rosta conjectured that among all two-coloring...
A graph $H$ is said to be common if the number of monochromatic labelled copies of $H$ in a red/blue...
We show that in every two-colouring of the edges of the complete graph K_N there is a monochromatic ...
AbstractLetK(k)(n,p) be the randomk-uniform hypergraph obtained by independent inclusion of each of ...
A graph $H$ is common if the number of monochromatic copies of $H$ in a 2-edge-colouring of the comp...
We determine the Ramsey number of a connected clique matching. That is, we show that if GG is a 22-e...
AbstractRecently, Rödl and Ruciński [5,6] proved the following threshold result about Ramsey propert...
We consider the problem of k-colouring a random r-uniform hypergraph with n vertices and cn edges, w...