The coloring problem for $\{P_5,\bar{P_5}\}$-free graphs and $\{P_5,K_p-e\}$-free graphs is polynomial
We show that determining the chromatic number of a $\{P_5,\bar{P_5}\}$-free graph or a $\{P_5,K_p-e\}$-free graph can be done in polynomial time
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