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math.CO2022★ 6 cited
Bounding the diameter and eigenvalues of amply regular graphs via Lin-Lu-Yau curvature
Xueping Huang, Shiping Liu, Qing Xia
An amply regular graph is a regular graph such that any two adjacent vertices have common neighbors and any two vertices with distance have common neighbors. We prove a…
math.AP2022
Superlinear elliptic inequalities on weighted graphs
Qingsong Gu, Xueping Huang, Yuhua Sun
Let be an infinite, connected, locally finite weighted graph. We study the problem of existence or non-existence of positive solutions to a semi-linear elliptic inequality…