Shuliang Bai

activity

20172026

{0, 1}

-Tensor with Prescribed Number of Ones

1 citations · 1 across the 3 of their papers we have counts for

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6 papers · 1 filter

math.CO2020

Turán Density of $2$ -edge-colored Bipartite Graphs with Application on ${2, 3}$ -Hypergraphs

Shuliang Bai, Linyuan Lu

We consider the Turán problems of $2$ -edge-colored graphs. A $2$ -edge-colored graph $H = (V, E_{r}, E_{b})$ is a triple consisting of the vertex set $V$ , the set of red edges $E_{r}$ and t…

math.CO2020

On the Sum of Ricci-Curvatures for Weighted Graphs

Shuliang Bai, An Huang, Linyuan Lu +1

In this paper, we generalize Lin-Lu-Yau's Ricci curvature to weighted graphs and give a simple limit-free definition. We prove two extremal results on the sum of Ricci curvatures f…

math.CO2018

On the Turán density of ${1, 3}$ -Hypergraphs

Shuliang Bai, Linyuan Lu

In this paper, we consider the Turán problems on ${1, 3}$ -hypergraphs. We prove that a ${1, 3}$ -hypergraph is degenerate if and only if it's $H_{5}^{{1, 3}}$ -colorable, where $H…

math.CO2018★ 1 cited

Spectral Radius of ${0, 1}$ -Tensor with Prescribed Number of Ones

Shuliang Bai, Linyuan Lu

For any $r$ -order ${0, 1}$ -tensor $A$ with $e$ ones, we prove that the spectral radius of $A$ is at most $e^{\frac{r - 1}{r}}$ with the equality holds if and only if $e = k^{r}$ for…

math.CO2017

Analogies between the crossing number and the tangle crossing number

Robin Anderson, Shuliang Bai, Fidel Barrera-Cruz +8

Tanglegrams are special graphs that consist of a pair of rooted binary trees with the same number of leaves, and a perfect matching between the two leaf-sets. These objects are of…

math.CO2017

A Bound on the Spectral Radius of Hypergraphs with $e$ Edges

Shuliang Bai, Linyuan Lu

For $r \geq 3$ , let $f_{r} : [0, \infty) \to [1, \infty)$ be the unique analytic function such that $f_{r} ((r k)) = (r - 1 k - 1)$ for any $k \geq r - 1$ . We prove that the spectr…

Turán Density of 2-edge-colored Bipartite Graphs with Application on {2,3}-Hypergraphs

On the Sum of Ricci-Curvatures for Weighted Graphs

On the Turán density of {1,3}-Hypergraphs

Spectral Radius of {0,1}-Tensor with Prescribed Number of Ones

Analogies between the crossing number and the tangle crossing number

A Bound on the Spectral Radius of Hypergraphs with e Edges

Turán Density of $2$ -edge-colored Bipartite Graphs with Application on ${2, 3}$ -Hypergraphs

On the Turán density of ${1, 3}$ -Hypergraphs

Spectral Radius of ${0, 1}$ -Tensor with Prescribed Number of Ones

A Bound on the Spectral Radius of Hypergraphs with $e$ Edges