108 citations · 358 across the 34 of their papers we have counts for
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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…
math.CO2012★ 36 cited
Homologies of path complexes and digraphs
Alexander Grigor'yan, Yong Lin, Yuri Muranov +1
In this paper we introduce a path complex that can be regarded as a generalization of the notion of a simplicial complex. The main motivation for considering path complexes comes f…
math.CO2012★ 7 cited
A brief review on geometry and spectrum of graphs
Yong Lin, Shing-Tung Yau
This is a survey paper. We study the Ricci curvature and spectrum of graphs, as well as the exterior forms and deRahm cohomology on graphs.