I have so much respect and expectations for this guy. Now I don't think Oda will have Mihawk fall before Zoro gets to him but if he did there are only a few characters (swordsmen) that could do it.
Shanks
Shiryu
Fujitora
Shamrock
Garling
Venus
And as Mihawk is "in name and reality #1" then only someone possibly surpassing him could defeat him. Shiryu is the only rapidly growing force, the rest are perhaps growing slowly, stagnant or even slowly decreasing. All mentioned above should have CoC.
Shanks
Shiryu
Fujitora
Shamrock
Garling
Venus
And as Mihawk is "in name and reality #1" then only someone possibly surpassing him could defeat him. Shiryu is the only rapidly growing force, the rest are perhaps growing slowly, stagnant or even slowly decreasing. All mentioned above should have CoC.