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papers

Publications (32)

math.SP2015

Curvature and higher order Buser inequalities for the graph connection Laplacian

Shiping Liu, Florentin Münch, Norbert Peyerimhoff

physics.soc-ph2014

Optimal Transport in Worldwide Metro Networks

Wei Li, Jiao Gu, Shiping Liu +5

math.DG2017

Rigidity properties of the hypercube via Bakry-Emery curvature

Shiping Liu, Florentin Münch, Norbert Peyerimhoff

math.DG2017

Liouville theorems for $f$-harmonic maps into Hadamard spaces

Bobo Hua, Shiping Liu, Chao Xia

math.RT2017

Auslander-Reiten components with bounded short cycles

Shiping Liu, Jinde Xu

math.SP2015

Spectral distances on graphs

Jiao Gu, Bobo Hua, Shiping Liu

math.CO2017

Bakry-Émery curvature functions of graphs

David Cushing, Shiping Liu, Norbert Peyerimhoff

math.CO2018

Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature

David Cushing, Supanat Kamtue, Jack Koolen +3

math.SP2015

Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians

Carsten Lange, Shiping Liu, Norbert Peyerimhoff +1

math.MG2013

Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature

Bobo Hua, Jürgen Jost, Shiping Liu

math.CO2019

Erratum for Ricci-flat graphs with girth at least five

David Cushing, Riikka Kangaslampi, Yong Lin +3

math.DG2018

Comparative analysis of two discretizations of Ricci curvature for complex networks

Areejit Samal, R. P. Sreejith, Jiao Gu +3

math.DG2016

Bakry-Emery curvature and diameter bounds on graphs

Shiping Liu, Florentin Münch, Norbert Peyerimhoff

math.RT2014

Another characterization of tilted algebras

Shiping Liu

math.CT2012

Almost split sequences and approximations

Shiping Liu, Puiman Ng, Charles Paquette

math.RT2016

The bounded derived categories of an algebra with radical squared zero

Raymundo Bautista, Shiping Liu

math.DG2014

An optimal dimension-free upper bound for eigenvalue ratios

Shiping Liu

math.CO2017

Ollivier-Ricci idleness functions of graphs

David Bourne, David Cushing, Shiping Liu +2

math.RT2015

Cluster categories of type $\mathbb{A}_\infty^\infty$ and triangulations of the infinite strip

Shiping Liu, Charles Paquette

math.SP2014

Spectral classes of regular, random, and empirical graphs

Jiao Gu, Jürgen Jost, Shiping Liu +1

math.CO2018

Curvature calculations for antitrees

David Cushing, Shiping Liu, Florentin Münch +1

math.DG2016

Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

Michela Egidi, Shiping Liu, Florentin Münch +1

math.SP2017

Magnetic sparseness and Schrödinger operators on graphs

Michel Bonnefont, Sylvain Golénia, Matthias Keller +2

math.RT2012

Standard components of a Krull-Schmidt category

Shiping Liu, Charles Paquette

math.SP2018

Eigenvalue ratios of nonnegatively curved graphs

Shiping Liu, Norbert Peyerimhoff

math.DG2019

Distance bounds for graphs with some negative Bakry-Émery curvature

Shiping Liu, Florentin Münch, Norbert Peyerimhoff +1

math.SP2014

Multi-way dual Cheeger constants and spectral bounds of graphs

Shiping Liu

math.CO2014

Signatures, lifts, and eigenvalues of graphs

Shiping Liu, Norbert Peyerimhoff, Alina Vdovina

math.CO2013

Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator

Frank Bauer, Jürgen Jost, Shiping Liu

math.RT2011

A proof of the strong no loop conjecture

Kiyoshi Igusa, Shiping Liu, Charles Paquette

math.RT2011

Representation Theory of an Infinite Quiver

Raymundo Bautista, Shiping Liu, Charles Paquette

math.CO2013

Ollivier's Ricci curvature, local clustering and curvature dimension inequalities on graphs

Jürgen Jost, Shiping Liu