Borodin-Kostochka conjecture for a family of $P_6$-free graphs

Di Wu, Rong Wu

Borodin and Kostochka conjectured that every graph $G$ with $\hat{I}”\ge 9$ satisfies $\ddot{I}‡\le$ max $\{\ddot{I}‰,\hat{I}”-1\}$. Gupta and Pradhan proved the Borodin-Kostochka conjecture for ($P_5$, $C_…