108 citations · 358 across the 34 of their papers we have counts for
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math.CO2013★ 3 cited
Nodal geometry of graphs on surfaces
Yong Lin, Gabor Lippner, Dan Mangoubi +1
We prove two mixed versions of the Discrete Nodal Theorem of Davies et. al. [3] for bounded degree graphs, and for three-connected graphs of fixed genus . Using this we can show…
math.AP2013
Li-Yau inequality on graphs
Frank Bauer, Paul Horn, Yong Lin +3
We prove the Li-Yau gradient estimate for the heat kernel on graphs. The only assumption is a variant of the curvature-dimension inequality, which is purely local, and can be consi…
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…