Yu-Kai Tang

Improved SDP Coloring of 3-Colorable Graphs from Recursive Gaussian Certificates

We give a randomized polynomial-time algorithm that, for every fixed $\varepsilon>0$, colors every $3$-colorable $n$-vertex graph using $O\bigl(n^{(13-\sqrt{97})/18+\varepsilon}\bigr) \approx O\bigl(n^{0.17506+\varepsilon}\bigr)$ colors, improving upon the previous best bound of $O(n^{0.19539})$ from Bansal, Huang, and...