Graham has been reffing since the age of 15 and was promoted to the list of national referees in 2005 - in 2007 he made another step up and refereed the Conference play off final between last weeks opponents Exeter and Oxford.
His only previous Millers encounter was a 2-0 loss at Barnet just over a year ago - when he booked four players including loanee Ryan Cresswell and centre half Liam King.
In 14 games this season he has given out 37 yellow but just 1 red card.
Running the lines will be:
James Cox (Worcestershire) along with Phillip Dermott (Cheshire)
The Fourth Official is Darren Bond (Lancashire)