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math.CO2020
Turán Density of -edge-colored Bipartite Graphs with Application on -Hypergraphs
Shuliang Bai, Linyuan Lu
We consider the Turán problems of -edge-colored graphs. A -edge-colored graph is a triple consisting of the vertex set , the set of red edges and t…
math.DG2020★ 2 cited
Ollivier Ricci-flow on weighted graphs
Shuliang Bai, Yong Lin, Linyuan Lu +2
We study the existence of solutions of Ricci flow equations of Ollivier-Lin-Lu-Yau curvature defined on weighted graphs. Our work is motivated by\cite{NLLG} in which the discrete t…
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…