Abstract of

'A Note on Heat Kernel Estimates on Weighted Graphs with Two-Sided Bounds on the Weights'

We reconsider estimates for the heat kernel on weighted graphs recently found by Metzger and Stollmann. In the case that the weights satisfy a positive lower bound as well as a finite upper bound, we obtain a specialized lower estimate and a proper generalization of a previous upper estimate.

Subject Classes (MSC; PACS)


Keywords and Phrases

Heat kernel, Laplace operator on graphs