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Ramsey's theorem

Known as: R(5, 5), Ramsey number, Ramsey theorem 
In combinatorial mathematics, Ramsey's theorem states that one will find monochromatic cliques in any edge labelling (with colours) of a sufficiently… 
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Papers overview

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2015
2015
Let $P$ denote a 3-uniform hypergraph consisting of 7 vertices $a,b,c,d,e,f,g$ and 3 edges $\{a,b,c\}, \{c,d,e\},$ and $\{e,f,g… 
2007
2007
A polyadic space is a Hausdorff continuous image of some power of the onepoint compactification of a discrete space. We prove a… 
2004
2004
We determine the maximum number of colors in a coloring of the edges of Km,n such that every cycle of length 2k contains at least… 
1996
1996
We prove a about the maximum number of monochromatic VLJ. • kU"."OVU T,WO-(;OllC)nng of the of Kn with fixed number of Moreover… 
1995
1995
We use the Boyer-Moore Prover, Nqthm, to verify the Paris-Harrington version of Ramsey's theorem. The proof we verify is a… 
1992
1992
Say a graph H selects a graph G if given any coloring of H, there will be a monochromatic induced copy of G in H or a completely… 
1952
1952
ONE feature of Prof. H. C. Urey's new theory1 of the development of the planets is that it leads him to conclude on several…