5 citations · 6 across the 2 of their papers we have counts for
2 papers
math.CO2013★ 5 cited
Ricci-flat graphs with girth at least five
Yong Lin, Linyuan Lu, S. -T. Yau
A graph is called Ricci-flat if its Ricci-curvatures vanish on all edges. Here we use the definition of Ricci-cruvature on graphs given in [Lin-Lu-Yau, Tohoku Math., 2011], which i…
math.CO2012★ 1 cited
Harnack inequalities for graphs with non-negative Ricci curvature
Fan Chung, Yong Lin, Shing-Tung Yau
We establish a Harnack inequality for finite connected graphs with non-negative Ricci curvature. As a consequence, we derive an eigenvalue lower bound, extending previous results f…