output
20122024
most citedNumerical Study of Viscoelastic Upstream Instability

14 citations

6 papers

cs.CR2024

A Practical and Privacy-Preserving Framework for Real-World Large Language Model Services

Xueping Liao, Yu Mao, Wei Liu +1

Large language models (LLMs) have demonstrated exceptional capabilities in text understanding and generation, and they are increasingly being utilized across various domains to enh…

physics.flu-dyn2022★ 14 cited

Numerical Study of Viscoelastic Upstream Instability

Sai Peng, Tingting Tang, Jianhui Li +2

In this work, we report numerical results on the flow instability and bifurcation of a viscoelastic fluid in the upstream region of a confined cylinder in a narrow channel. Two-dim…

math.CO2018

On a Diagonal Conjecture for Classical Ramsey Numbers

Meilian Liang, Stanisław Radziszowski, Xiaodong Xu

Let denote the classical -color Ramsey number for integers . The Diagonal Conjecture (DC) for classical Ramsey numbers poses that if $k_1, \cdot…

math.CO2017

On the Nonexistence of Some Generalized Folkman Numbers

Xiaodong Xu, Meilian Liang, Stanisław Radziszowski

For an undirected simple graph , we write if and only if for every red-blue coloring of its vertices there exists a red or a blue . The g…

math.CO2016★ 3 cited

Chromatic Vertex Folkman Numbers

Xiaodong Xu, Meilian Liang, Stanisław Radziszowski

For graph and integers , we write if and only if for every -coloring of the vertex set there exists…

math.CO2012

Bounds on Shannon Capacity and Ramsey Numbers from Product of Graphs

Xiaodong Xu, Stanisław Radziszowski

In this note we study Shannon capacity of channels in the context of classical Ramsey numbers. We overview some of the results on capacity of noisy channels modelled by graphs, and…