Markov random fields and iterated toric fibre products
  We prove that iterated toric fibre products from a finite collection of toric varieties are defined by binomials of uniformly bounded degree. This implies that Markov random fields built up from a finite collection of finite graphs have uniformly bounded Markov degree. 
Jan Draisma and Florian M. Oosterhof
math.AC math.ST stat.TH