Borodin-Kostochka Conjecture holds for odd-hole-free graphs

The Borodin-Kostochka Conjecture states that for a graph $G$, if $\mathrm{\Delta }(G)\ge 9$, then $\chi (G)\le \max \{\mathrm{\Delta }(G)-1,\omega (G)\}$. In this paper, we prove the Borodin-Kostochka Conjecture holding for odd-hole-free graphs.