Ramsey numbers $R(K_{1,4},K_{m,n})$ for small $m$

Abstract

We determine all currently unknown values of the generalized two-color Ramsey number $R(K_{1,4},K_{m,n})$ for $\min (m,n)\le 8$. We also prove that the number $R(K_{1,4},K_{m,m})$ equals $26,29,31,33$ for $m=9,10,11,12$ respectively.

arXiv comment18 pages