For graphs G1, . . . , Gs, the multicolor Ramsey number R(G1, . . . , Gs) is the smallest integer r such that if we
give any edge col-oring of the complete graph on r vertices with s colors then there exists a monochromatic
copy of Gi colored with color i, for some 1 ≤ i ≤ s. In this work the multicolor Ramsey number
R(Kp1
, . . . , Kpm
, K1,q1
, . . . , K1,qn
) is determined for any set of com-plete graphs and stars in terms of R(Kp1
, . . . ,
Kpm
)Ministerio de Educación y Ciencia MTM2008-06620-C03-02Junta de Andalucía P06-FQM-0164
