%0 Journal Article %T Davies-Gaffney-Grigor'yan Lemma on Graphs %A Frank Bauer %A Bobo Hua %A Shing-Tung Yau %J Mathematics %D 2014 %I arXiv %X We prove a variant of the Davies-Gaffney-Grigor'yan Lemma for the continuous time heat kernel on graphs. We use it together with the Li-Yau inequality to obtain strong heat kernel estimates for graphs satisfying the exponential curvature dimension inequality. %U http://arxiv.org/abs/1402.3457v2