This was already done once.
I had a one panel comic for it I shall rehost.
And it doesn't matter if he can cut Wonder Woman or not, which he can't, because he's way too fast and better trained than Wolvie.
Wolverine defender here.
This is how I see it: when Wolverine sneaks up on her, and stabs her, she's done for. I don't think he will have much trouble cutting her.
In a straight fight : WW wins 9/10, but the tenth fight, Wolverine (who can take a serious beating as you all know) will probably see an opening and will try to stab/cut her.
So WW wins almost every time, but she better not let that hairy dwarf come too close to her.
Wolverine isn't "sneaking" up on her. That's complete and utter bull. Her senses are nearly on par with Superman (minus the x-ray vision crap). There will be no opening. Once during a dinner conferance in the UN capital, a sniper used a high-caliber laser sniper rifle with silencer attached. He shot her from nearly a mile away in the head when she was facing away from him. Guess what? She deflected it. With one arm and the other holding a glass of champne. Wolverine loses 10/10.