Well, you’re assuming the Universe has a center and edges.
Well, that's the interesting thing. No matter where you are, you are at the center of the universe, and the edges are equidistant. The speed of light implies the perceived distance to the edge reflects the age of the universe, because you can only see back to the beginning. Sure, the universe may be larger than you may perceive, but as far as you're concerned that part beyond the horizon of your light cone doesn't exist (yet).
Which of course if the same observation holds true for every point, this implies the universe has no center and no edges...
There's some other fun stuff. The math for black holes suggests that some light passing close to the black hole is bent (really it's space-time that is deformed so as to provide a path for the light, but hey) so as to send it back to the origin, wherever the origin happens to be now. If so, we should be able to look into our past when we look closely at the edge of a black hole, perhaps all the way back to the beginning of the universe. hands waving of course, because we'll also need a massive gravitational lens. But it also should be possible to prove the "edge of the universe is equidistant" theory this way...as a corollary the entire sky is full of the history of the universe, because everywhere you look, there's probably a black hole reflecting it's view of the entire visible universe at you (as of the moment in the past it's distance implies).