Concepedia

Shuang Liu

SL

Statistics

Publications

6

Citations

165

H-Index

6

Active since

2014

Affiliations

Renmin University of China(Current)

Harvard University

Shuang Liu is an author at Renmin University of China specializing in graph theory, functional analysis, and engineering.

Top concepts

Graph TheoryFunctional AnalysisEngineeringNetwork AnalysisEducationSpectral TheoryApproximation TheoryDiscrete MathematicsMathematical ProgrammingVariational Inequalities

Publications per year

2014–2022

6

Publications

6

Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs

Paul Horn, Yong Lin, Shuang Liu et al. · Journal für die reine und angewandte Mathematik (Crelles Journal) · 2017 · 60 citations

Poincaré Inequality, Geometric Graph Theory, Heat Kernel +8

Equivalent Properties of CD Inequality on Graph

Yong Lin, Shuang Liu · arXiv (Cornell University) · 2015 · 28 citations · Full text

Gradient Estimate, Equivalent Property, Geometric Graph Theory +13

Volume doubling, Poincaré inequality and Guassian heat kernel estimate for nonnegative curvature graphs

Paul Horn, Yong Lin, Shuang Liu et al. · arXiv (Cornell University) · 2014 · 28 citations · Full text

Spectral Theory, Poincaré Inequality, Heat Semigroup +12

Li-Yau inequality for unbounded Laplacian on graphs

Chao Gong, Yong Lin, Shuang Liu et al. · Advances in Mathematics · 2019 · 23 citations

Graph Theory, Extremal Graph Theory, Li-yau Inequality +3

A Gradient Estimate for Positive Functions on Graphs

Yong Lin, Shuang Liu, Yunyan Yang · Journal of Geometric Analysis · 2016 · 14 citations

Mathematical Programming, Gradient Estimate, Engineering +6

1–5 of 6