First, for your post to have any meaning whatsoever, you must define what voting rings are.

Secondly, your methodology has to be more substantial than: I ran this algorithm, and here's what it spit out! Conclusion: collusion!

I can see from the comments that you're raking up the false positives pretty fast.

Finally, Steem is a stake based voting system on a blockchain. Each person's stake is their own personal property and under the existing rules, they can use it to vote in any manner they deem appropriate.

Do you intend to shame all of Steemit into voting randomly to avoid the appearance of collusion?

I think you're possibly well intentioned, but you may be trying to untie a Gordian knot of rapidly evolving social communities. Because two or more authors all support each other, if anything, indicates that they enjoy each other's work, and have formed social bonds.

That you see some nefarious collusion, may be your own hasty conclusion.