Shuliang Bai

most citedSpectral Radius of

{0, 1}

-Tensor with Prescribed Number of Ones

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

collaborators

3 papers

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…

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

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

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