Let $c_k$ be the maximum chromatic number that a $k$-regular graph can have. What is $\lim\sup_{n\to\infty}\frac{c_k}{k}$$\lim\sup_{k\to\infty}\frac{c_k}{k}$?
Post Closed as "Not suitable for this site" by Yemon Choi, Chris Godsil, Ben Barber, Jan-Christoph Schlage-Puchta, Neil Hoffman