A note on the Ramsey number of stars — Complete graphs

Boza et al. [L. Boza, M. Cera, P. García-Vázquez, M.P. Revuelta, On the Ramsey numbers for stars versus complete graphs, European J. Combin. 31 (2010) 1680–1688] gave the exact value of the multicolor Ramsey number R ( K 1 , q 1 , … , K 1 , q n , K p 1 , … , K p m ) in terms of R ( K p 1 , … , K p m ) . In this note, we give a short proof of this result.