@inproceedings{paul2017volume,
title={Volume doubling, Poincar\'{e} inequality and Gaussian heat kernel estimate for non-negatively curved graphs},
author={Paul Horn, Yong Lin, Shuang Liu, and Shing-Tung Yau},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160825085906189304440},
booktitle={Journal für die reine und angewandte Mathematik},
year={2017},
}

Paul Horn, Yong Lin, Shuang Liu, and Shing-Tung Yau. Volume doubling, Poincar\'{e} inequality and Gaussian heat kernel estimate for non-negatively curved graphs. 2017. In Journal für die reine und angewandte Mathematik. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160825085906189304440.