Add to ORKGRamsey Theory states that there exists a Ramsey Number. This number is the minimum number of nodes needed to guarantee that no matter how the edges of a complete graph of that order are two-colored, that there is a monochromatic subgraph, or clique, of either of the two colors. This project evaluates methods for finding Ramsey Numbers, a process that is NP complete. The goal of this project is to prove that R(5,5) is greater than 20
AbstractSome computer programs used to generate Ramsey edge colorings of graphs are described. New r...
AbstractSuppose G is a graph. The chromatic Ramsey number rc(G) of G is the least integer m such tha...
The Ramsey number r(G) of a graph G is the smallest number n such that, in any two-colouring of the ...
This BCs thesis deals with topics from graph theory. Ramsey theory in its most basic form deals with...
AbstractSome computer programs used to generate Ramsey edge colorings of graphs are described. New r...
In 1930, Frank Ramsey showed that one will find a monochromatic clique of a specified size in any ed...
AbstractThe Ramsey number M(p,q) is the greatest integer such that for each n<M(p,q), it is possible...
Ramsey theory has to do with order within disorder. This thesis studies two Ramsey numbers, R(3; 3) ...
Ramsey theory has to do with order within disorder. This thesis studies two Ramsey numbers, R(3; 3) ...
A graph with many vertices cannot be homogeneous, i.e., for any pair of integers (i,j) all large gra...
Establishing the values of Ramsey numbers is, in general, a difficult task from the computational po...
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...
This MSc thesis deals with a theory, which comes from combinatorics. According to Ramsey's theorem f...
We divide our attention between two open problems. One of them is to find better lower bounds on Ram...
AbstractSome computer programs used to generate Ramsey edge colorings of graphs are described. New r...
AbstractSuppose G is a graph. The chromatic Ramsey number rc(G) of G is the least integer m such tha...
The Ramsey number r(G) of a graph G is the smallest number n such that, in any two-colouring of the ...
This BCs thesis deals with topics from graph theory. Ramsey theory in its most basic form deals with...
AbstractSome computer programs used to generate Ramsey edge colorings of graphs are described. New r...
In 1930, Frank Ramsey showed that one will find a monochromatic clique of a specified size in any ed...
AbstractThe Ramsey number M(p,q) is the greatest integer such that for each n<M(p,q), it is possible...
Ramsey theory has to do with order within disorder. This thesis studies two Ramsey numbers, R(3; 3) ...
Ramsey theory has to do with order within disorder. This thesis studies two Ramsey numbers, R(3; 3) ...
A graph with many vertices cannot be homogeneous, i.e., for any pair of integers (i,j) all large gra...
Establishing the values of Ramsey numbers is, in general, a difficult task from the computational po...
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...
This MSc thesis deals with a theory, which comes from combinatorics. According to Ramsey's theorem f...
We divide our attention between two open problems. One of them is to find better lower bounds on Ram...
AbstractSome computer programs used to generate Ramsey edge colorings of graphs are described. New r...
AbstractSuppose G is a graph. The chromatic Ramsey number rc(G) of G is the least integer m such tha...
The Ramsey number r(G) of a graph G is the smallest number n such that, in any two-colouring of the ...