%0 Journal Article %T BEC of Free Bosons on Networks %A Taku Matsui %J Mathematics %D 2005 %I arXiv %X We consider free Bosons hopping on a network(infinite graph). The condition for Bose-Einstein condensation is given in terms of the random walk on a graph. In case of periodic lattices, we also consider Boson moving in an external periodic potential and obatined the criterion for Bose-Einstein condensation. %U http://arxiv.org/abs/math-ph/0509003v1