I'll have to go with Mihawk FRA.
In terms of raw stats, it's almost impossible to tell who's superior due to how dubious the Yonko scaling is. Both should definitely be in a similar ballpark of strength though, so raw physical stats definitely won't be the deciding factor in this battle like Emi said above.
In terms of skill, Mihawk has him beat since he stands atop the world of swordsmen in terms of skill, and this should include many people who should be close to Oden in skill like Zoro, Shanks, Vista, the scabbards, and many, many more.
Mihawk also massively outranges Oden, because even his casual Air slashes have hundreds of meters in range at the very least.
Oden does have better endurance feats, but it's not like Mihawk didn't fight for hours during Marineford and literally didn't break a sweat, so it's not like he's completely outclassed or will outright lose because of this. Ultimately it's just due to the lack of on-screen serious fights for Mihawk, but I'll still give give this point to Oden for the better showings.
Haki should be pretty close in terms of Armament, since both have Advanced Armament Haki. Mihawk wins the Observation Haki category though due to better feats, so overall Mihawk edges out the Haki category as well.
Overall, Mihawk has slight, but relevant advantages that should grant him the victory with relatively high difficulty.