One Startup’s Journey Through Y Combinator or There and Back Again
medium.com
medium.com
besides, much of how the program works is outlined on the main ycombinator.com website. YC doesn't really micromanage how you present yourself or your co (within ethical boundaries), but provides strong advice[1] that is up to you to follow.
[1]: e.g. don't immediately announce as a YC co as it has press value.