For given graphs G and H, the Ramsey numberR(G,H) is the smallest positive integer n such that every graph F of n vertices satisfies the following property: ...

Abstract. For given graphs G and H, the Ramsey number R(G, H) is the smallest positive integer n such that every graph F of n ver-.

For given graphs G and H, the Ramsey numberR(G,H) is the smallest positive integer n such that every graph F of n vertices satisfies the following property: ...

For given graphs G and H, the Ramsey numberR(G,H) is the smallest positive integer n such that every graph F of n vertices satisfies the following property: ...

An Upper Bound for the Ramsey Number of a Cycle of Length Four Versus Wheels ; Place of Publication, Berlin ; Publisher, Springer ; Pages, 181-184 ; Number of pages ...

Dive into the research topics of 'An Upper Bound for the Ramsey Number of a Cycle of Length Four Versus Wheels'. Together they form a unique fingerprint. Sort ...

We prove a new upper bound for diagonal two-colour Ramsey numbers, showing that there exists a constant C such that r(k + 1,k+1) ≤ k -Clog k/log log k ( 2k k ).

... upper bound was also determined there.) After that, Faudree et al. [FaudreeLawrenceParsonsSchelp] determined the Ramsey numbers of paths versus cycles. We ...

Oct 27, 2014 · Ck is a cycle of length k, K1,n is a star graph of order n + 1 ... By Theorem 7(c), we have the upper bounds in (a) and (b). So it is ...

Jul 26, 2019 · Let k=2, then 22+2⋅2=8, so we need to show that there is either a blue or a red C4 in every (red and blue) two-coloring of K8.