Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring of the edges of K_N contains a monochromatic copy of H. The existence of these numbers has been known since 1930 but their quantitative behaviour is still not well understood. Even so, there has been a great deal of recent progress on the study of Ramsey numbers and their variants, spurred on by the many advances across extremal combinatorics. In this survey, we will describe some of this progress
This thesis contains new contributions to Ramsey theory, in particular results that establish exact ...
A graph with many vertices cannot be homogeneous, i.e., for any pair of integers (i,j) all large gra...
AbstractThe Ramsey number r(G) of a graph G is the minimum N such that every red–blue coloring of th...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
The Ramsey number r(H) of a graph H is the smallest number n such that, in any two-colouring of the ...
In 1930, Frank Ramsey showed that one will find a monochromatic clique of a specified size in any ed...
The Ramsey number r(G) of a graph G is the smallest number n such that, in any two-colouring of the ...
This MSc thesis deals with a theory, which comes from combinatorics. According to Ramsey's theorem f...
This BCs thesis deals with topics from graph theory. Ramsey theory in its most basic form deals with...
We study two classical problems in graph Ramsey theory, that of determining the Ramsey number of bou...
The Ramsey number r(H) of a graph H is the minimum n such that any two-coloring of the edges of the ...
The Ramsey number R(F, H) is the minimum number N such that any N-vertex graph either contains a cop...
Given a graph H and an integer r ≥ 2, let G → (H,r) denote the Ramsey property of a graph G, that is...
This thesis contains new contributions to Ramsey theory, in particular results that establish exact ...
A graph with many vertices cannot be homogeneous, i.e., for any pair of integers (i,j) all large gra...
AbstractThe Ramsey number r(G) of a graph G is the minimum N such that every red–blue coloring of th...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
The Ramsey number r(H) of a graph H is the smallest number n such that, in any two-colouring of the ...
In 1930, Frank Ramsey showed that one will find a monochromatic clique of a specified size in any ed...
The Ramsey number r(G) of a graph G is the smallest number n such that, in any two-colouring of the ...
This MSc thesis deals with a theory, which comes from combinatorics. According to Ramsey's theorem f...
This BCs thesis deals with topics from graph theory. Ramsey theory in its most basic form deals with...
We study two classical problems in graph Ramsey theory, that of determining the Ramsey number of bou...
The Ramsey number r(H) of a graph H is the minimum n such that any two-coloring of the edges of the ...
The Ramsey number R(F, H) is the minimum number N such that any N-vertex graph either contains a cop...
Given a graph H and an integer r ≥ 2, let G → (H,r) denote the Ramsey property of a graph G, that is...
This thesis contains new contributions to Ramsey theory, in particular results that establish exact ...
A graph with many vertices cannot be homogeneous, i.e., for any pair of integers (i,j) all large gra...
AbstractThe Ramsey number r(G) of a graph G is the minimum N such that every red–blue coloring of th...