As said above, mate centers are just for finding a mate, not mating. Though, a few times I've seen actual mating centers pop up, but people seem to report and block them pretty quickly.
There was a thread about centers made recently so I'll just put up what I had said:
"I admit that when I first joined, I used to participate in Adoption Centers and Mate Centers quite often. I don't at all anymore, but I don't hate ACs and MCs. Both are a great way of meeting new people and new friends, and when I was new this helped me a lot to learn about the maps, how to use things, and learning how to roleplay. They also give people who are bored something to do. The only thing I don't like, as mentioned before, is how most are either very neon-colored and will spam the chat with caps.
But overall, I think ACs and MCs are a cute idea and are very helpful, especially to newer players. I don't see why people need to hate on them so much as long as they aren't spamming the chat and such."