Shiping Liu 刘世平
Shiping Liu 刘世平
School of Mathematical Sciences, University of Science and Technology of China
כתובת אימייל מאומתת בדומיין - דף הבית
צוטט על ידי
צוטט על ידי
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
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), 1-16, 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
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
Multi-way dual Cheeger constants and spectral bounds of graphs
S Liu
Advances in Mathematics 268, 306-338, 2015
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
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
Bakry-\'Emery curvature functions of graphs
D Cushing, S Liu, N Peyerimhoff
arXiv preprint arXiv:1606.01496, 2016
Eigenvalue ratios of nonnegatively curved graphs
S Liu, N Peyerimhoff
arXiv preprint arXiv:1406.6617, 2014
Spectral distances on graphs
J Gu, B Hua, S Liu
Discrete Applied Mathematics 190191, 56-74, 2015
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
Curvature and higher order Buser inequalities for the graph connection Laplacian
S Liu, F Münch, N Peyerimhoff
SIAM Journal on Discrete Mathematics 33 (1), 257-305, 2019
The Graph Curvature Calculator and the curvatures of cubic graphs
D Cushing, R Kangaslampi, V Lipiäinen, S Liu, GW Stagg
Experimental Mathematics, 1-13, 2019
Cheeger constants, structural balance, and spectral clustering analysis for signed graphs
FM Atay, S Liu
arXiv preprint arXiv:1411.3530, 2014
An optimal dimension-free upper bound for eigenvalue ratios
S Liu
arXiv preprint arXiv:1405.2213, 2014
Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature
D Cushing, S Kamtue, J Koolen, S Liu, F Münch, N Peyerimhoff
Advances in Mathematics 369, 107188, 2020
Rigidity properties of the hypercube via Bakry-Emery curvature
S Liu, F Münch, N Peyerimhoff
arXiv preprint arXiv:1705.06789, 2017
The geometric meaning of curvature: Local and nonlocal aspects of ricci curvature
F Bauer, B Hua, J Jost, S Liu, G Wang
Modern Approaches to Discrete Curvature, 1-62, 2017
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מאמרים 1–20