52 citations · 96 across the 22 of their papers we have counts for
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math.CO2020★ 2 cited
On the Sum of Ricci-Curvatures for Weighted Graphs
Shuliang Bai, An Huang, Linyuan Lu +1
In this paper, we generalize Lin-Lu-Yau's Ricci curvature to weighted graphs and give a simple limit-free definition. We prove two extremal results on the sum of Ricci curvatures f…
math.CO2014
On cohomology theory of (di)graphs
An Huang, Shing-Tung Yau
To a digraph with a choice of certain integral basis, we construct a CW complex, whose integral singular cohomology is canonically isomorphic to the path cohomology of the digraph…
math.CO2014
Graph invariants from ideas in physics and number theory
An Huang, Shing-Tung Yau, Mei-Heng Yueh
We study free scalar field theory on a graph, which gives rise to a modified version of discrete Green's function on a graph studied in \cite{CY}. We show that this gives rise to a…