Chromatic numbers and products Original Research Article

Let image be the smallest number so that there are two n chromatic graphs whose product has chromatic number image. Under the assumption that a certain sharper result than one obtained by Duffus et al. [On the chromatic number of the product of graphs, J. Graph Theory 9 (1985) 487–495], and Welzl [Symmetric graphs and interpretations, J. Combin. Theory, Sci. B 37 (1984) 235–244], holds we will prove that image.