The implementation goes over every post and computes the ratio for voters within that post. It then removes one user from that group and recalculates the ratio. If the ratio drops, it brings that user back in. If it increases, it keeps them out.
You can check the implementation here (click on Edit Algorithm): https://algorithmia.com/algorithms/ANaimi/SimpleVoteRingDete...
Running SimpleVoteRingDetection on the complete Product Hunt dataset (16k+ posts, 52k+ users) takes a few seconds. If you have a dataset for any other website/application, you can easily feed it into the algorithm and experiment with that.