From their rules on self promotion:
You should not vote up only things from your domain or project, or have any other employees or fans do the same. Every redditor should evaluate and vote on each submission or comment based on the value when they read it. Only submitting on, or voting on, one particular person, domain, or brand's content will get an account banned from reddit - it's called vote cheating and manipulation.
You should not ask for votes on reddit, even on your twitter or blog or forum - it will get your account banned, and in extreme cases can get your domain banned.
So I guess the blurb on everybody's page asking for votes would be in violation of that rule. That being said I would be willing to make a post on our forums linking to a reddit post and encouraging everybody to look at it and use their own judgement as to whether or not they would like a BuzzerBeater piece on the "hot" section of the reddit sports page. However much publication BB wants to give that would be up to you.