Overview
Taking all of the credit for something you did all by yourself isn't bragging, it's justified! You can't be humble just because you're afraid that by accepting praise you'll be making it too obvious that someone who should have helped you didn't. How other people react to your growing positive publicity is their issue -- it's nothing you should take responsibility for. If they have a hang up, it's their hang up to solve. Never, ever turn down praise that you have worked hard for.
