%0 Journal Article %T Algorithmic computation of the Universal Gr£¿bner Basis of toric ideals of graphs %A Yannis C. Stamatiou %A Christos Tatakis %J Mathematics %D 2013 %I arXiv %X Let $G$ be an undirected graph and $I_G$ be its corresponding toric ideal. In this paper we give an algorithm that outputs its Universal Gr\"obner basis based on a recent, efficiently computable algorithmic characterization of its the Graver basis. %U http://arxiv.org/abs/1307.7224v1