Shiping Liu 刘世平
Shiping Liu 刘世平
School of Mathematical Sciences, University of Science and Technology of China
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TitleCited byYear
Ollivier's Ricci curvature, local clustering and curvature dimension inequalities on graphs
J Jost, S Liu
Discrete & Computational Geometry 51 (2), 300-322, 2014
Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator
F Bauer, J Jost, S Liu
Mathematical Research Letters 19 (6), 1185-1205, 2012
Gradient estimates for solutions of the heat equation under Ricci flow
S Liu
Pacific Journal of Mathematics 243 (1), 165-180, 2009
Multi-way dual Cheeger constants and spectral bounds of graphs
S Liu
Advances in Mathematics 268, 306-338, 2015
Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature
B Hua, J Jost, S Liu
Journal für die reine und angewandte Mathematik (Crelles Journal) 2015 (700 …, 2013
Eigenvalue Ratios of Non-Negatively Curved Graphs
S Liu, N Peyerimhoff
Combinatorics, Probability and Computing 27 (5), 829-850, 2018
Bakry–Émery curvature and diameter bounds on graphs
S Liu, F Münch, N Peyerimhoff
Calculus of Variations and Partial Differential Equations 57 (2), 67, 2018
Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians
C Lange, S Liu, N Peyerimhoff, O Post
Calculus of Variations and Partial Differential Equations, 2015
Bakry–Émery Curvature Functions on Graphs
D Cushing, S Liu, N Peyerimhoff
Canadian Journal of Mathematics, 1-55, 2019
Spectral classes of regular, random, and empirical graphs
J Gu, J Jost, S Liu, PF Stadler
Linear Algebra and its Applications 489, 30-49, 2015
An optimal dimension-free upper bound for eigenvalue ratios
S Liu
arXiv preprint arXiv:1405.2213, 2014
Ollivier--Ricci Idleness Functions of Graphs
DP Bourne, D Cushing, S Liu, F Münch, N Peyerimhoff
SIAM Journal on Discrete Mathematics 32 (2), 1408-1424, 2018
Comparative analysis of two discretizations of Ricci curvature for complex networks
A Samal, RP Sreejith, J Gu, S Liu, E Saucan, J Jost
Scientific reports 8 (1), 8650, 2018
Spectral distances on graphs
J Gu, B Hua, S Liu
Discrete Applied Mathematics 190191, 56-74, 2015
The Graph Curvature Calculator and the curvatures of cubic graphs
D Cushing, R Kangaslampi, V Lipiäinen, S Liu, GW Stagg
arXiv preprint arXiv:1712.03033, 2017
Curvature and higher order Buser inequalities for the graph connection Laplacian
S Liu, F Münch, N Peyerimhoff
arXiv preprint arXiv:1512.08134, 2015
Cheeger constants, structural balance, and spectral clustering analysis for signed graphs
FM Atay, S Liu
arXiv preprint arXiv:1411.3530, 2014
Signatures, lifts, and eigenvalues of graphs
S Liu, N Peyerimhoff, A Vdovina
arXiv preprint arXiv:1412.6841, 2014
Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds
M Egidi, S Liu, F Münch, N Peyerimhoff
arXiv preprint arXiv:1608.01955, 2016
Optimal Transport in Worldwide Metro Networks
W Li, J Gu, S Liu, Y Zhu, S Deng, L Zhao, J Han, X Cai
arXiv preprint arXiv:1403.7844, 2014
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