Its a question many people ask. there really is no evidence that nutritional supplements reduce swelling/bruising. there is some evidence, albeit poor that Arnica helps reducing bruising. The most IMPORTANT thing, is knowing what to avoid. things like Vitamine E, ginko, Aspirin and many others thin you blood and can result in more bruising. You can find these things online. also, after surgery talk to your surgeon about what they like. Here in ottawa, canada, after rhinoplasties or septoplasties we ask people to use salt water rinses to help keep the nose clear. apart from that, its all how your body behaves and everyone is different.
A one a day vitamin is all that you need to take to maximize your nutritional status. Arnica is a homeopathic medicine sold at CVS, Walgreens, and GNC. It may reduce black and blue & swelling. But consult your surgeon before you take any over the counter medication prior to surgery.