Davies-Gaffney-Grigor'yan Lemma on Graphs
  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. 
Frank Bauer, Bobo Hua and Shing-Tung Yau
math.DG