Add to ORKGWe discuss some computational challenges and related open questions concerning classical Ramsey numbers. This talk overviews known constructive bounds for the difference between consecutive Ramsey numbers and presents what is known about the most studied cases including $R(5,5)$ and $R(3,3,4)$. Although the main problems we discuss are concerned with concrete cases, and they involve significant computational approaches, there are interesting and important theoretical questions behind each of them
AbstractIn this note we obtain new lower bounds for the Ramsey numbers R(5, 5) and R(5, 6). The meth...
This paper studies lower bounds for classical multicolor Ramsey numbers, first by giving a short ov...
This thesis contains new contributions to Ramsey theory, in particular results that establish exact ...
We discuss some of our favorite open questions about Ramsey numbers and a related problem on edge Fo...
Using computational techniques we derive six new upper bounds on the classical two
AbstractWe present explicit constructions of three families of graphs that yield the following lower...
AbstractIt is proved that M(5, 4) ⩽ 28 and M(5, 5) ⩽ 55. New upper bounds are also given for M(6, 4)...
We discuss some computational challenges and related open questions concerning classical Ramsey numb...
In this report we will take a look at various proofs of Ramsey's theorem, some of the bounds that re...
Ramsey theory is the study of the structure of mathematical objects that is preserved under partitio...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Ramsey theory has to do with order within disorder. This thesis studies two Ramsey numbers, R(3; 3) ...
Ramsey Theory states that there exists a Ramsey Number. This number is the minimum number of nodes n...
AbstractThis note describes two lemmas for Ramsey number R (p, q; 4), which help us to deduce lower ...
This paper is a survey of the methods used for determining exact values and bounds for the classical...
AbstractIn this note we obtain new lower bounds for the Ramsey numbers R(5, 5) and R(5, 6). The meth...
This paper studies lower bounds for classical multicolor Ramsey numbers, first by giving a short ov...
This thesis contains new contributions to Ramsey theory, in particular results that establish exact ...
We discuss some of our favorite open questions about Ramsey numbers and a related problem on edge Fo...
Using computational techniques we derive six new upper bounds on the classical two
AbstractWe present explicit constructions of three families of graphs that yield the following lower...
AbstractIt is proved that M(5, 4) ⩽ 28 and M(5, 5) ⩽ 55. New upper bounds are also given for M(6, 4)...
We discuss some computational challenges and related open questions concerning classical Ramsey numb...
In this report we will take a look at various proofs of Ramsey's theorem, some of the bounds that re...
Ramsey theory is the study of the structure of mathematical objects that is preserved under partitio...
Given a graph H, the Ramsey number r(H) is the smallest natural number N such that any two-colouring...
Ramsey theory has to do with order within disorder. This thesis studies two Ramsey numbers, R(3; 3) ...
Ramsey Theory states that there exists a Ramsey Number. This number is the minimum number of nodes n...
AbstractThis note describes two lemmas for Ramsey number R (p, q; 4), which help us to deduce lower ...
This paper is a survey of the methods used for determining exact values and bounds for the classical...
AbstractIn this note we obtain new lower bounds for the Ramsey numbers R(5, 5) and R(5, 6). The meth...
This paper studies lower bounds for classical multicolor Ramsey numbers, first by giving a short ov...
This thesis contains new contributions to Ramsey theory, in particular results that establish exact ...