You can go to your own challonge bracket at challonge.com, on the right side of the screen there's a bar with some sharing options, with logos of facebook, twitter and google+.
On the event you mentioned, the challonge link was:
http://challonge.com/TBOctober
The only thing you need to do is add .svg behind that link, and put in in image tags like this.
Image tags code:
Posting this in the thread would look like this:
No need to redo this everytime you update the bracket, challonge handles everything, so you have a self-updating picture.