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math.CO2021
Lin-Lu-Yau curvature and diameter of amply regular graphs
Xintian Li, Shiping Liu
By Hall's marriage theorem, we study lower bounds of the Lin-Lu-Yau curvature of amply regular graphs with girth or under different parameter restrictions. As a consequence…
math.CO2021
Bakry-Émery curvature on graphs as an eigenvalue problem
David Cushing, Supanat Kamtue, Shiping Liu +1
In this paper, we reformulate the Bakry-Émery curvature on a weighted graph in terms of the smallest eigenvalue of a rank one perturbation of the so-called curvature matrix using S…