Lin Sun

activity

20192023

collaborators

6 papers

math.CO2023

The unicyclic hypergraph with extremal spectral radius

Guanglong Yu, Lin Sun

For a $h y p er g r a p h$ $G = (V, E)$ consisting of a nonempty vertex set $V = V (G)$ and an edge set $E = E (G)$ , its $a d j a ce n cy$ $ma t r i x$ $\mathcal {A}_{\mathcal{…

math.CO2023

The uniform supertrees with the extremal spectral radius

Guanglong Yu, Lin Sun

For a $h y p er g r a p h$ $G = (V, E)$ consisting of a nonempty vertex set $V = V (G)$ and an edge set $E = E (G)$ , its $a d j a ce n cy$ $ma t r i x$ $\mathcal {A}_{\mathcal{…

math.CO2023

Large $Y_{3, 2}$ -tilings in 3-uniform hypergraphs

Jie Han, Lin Sun, Guanghui Wang

Let $Y_{3, 2}$ be the 3-graph with two edges intersecting in two vertices. We prove that every 3-graph $H$ on $n$ vertices with at least $ \max \left \{ \binom{4αn}{3}, \binom{n…

math.CO2021

Large $Y_{k, b}$ -tilings and Hamilton $ℓ$ -cycles in $k$ -uniform hypergraphs

Luyining Gan, Jie Han, Lin Sun +1

Let $Y_{3, 2}$ be the $3$ -uniform hypergraph with two edges intersecting in two vertices. Our main result is that any $n$ -vertex 3-uniform hypergraph with at least $\binom{n}{3} - \…

math.CO2019

A note on algebraic connectivity of 2-connected graphs

Guanglong Yu, by Shuguang Guo, Lin Sun +2

Among all simple 2-connected graphs, and among all $θ$ -graphs, the graphs with the minimum algebraic connectivity are completely determined, respectively.

math.CO2019

Least $Q$ -eigenvalues of nonbipartite 2-connected graphs

Guanglong Yu, by Lin Sun, Chao Yan +2

Among all simple nonbipartite 2-connected graphs and among all nonbipartite $θ$ -graphs, the minimum least $Q$ -eigenvalues are completely determined, respectively.

The unicyclic hypergraph with extremal spectral radius

The uniform supertrees with the extremal spectral radius

Large Y3,2​-tilings in 3-uniform hypergraphs

Large Yk,b​-tilings and Hamilton ℓ-cycles in k-uniform hypergraphs

A note on algebraic connectivity of 2-connected graphs

Least Q-eigenvalues of nonbipartite 2-connected graphs

Large $Y_{3, 2}$ -tilings in 3-uniform hypergraphs

Large $Y_{k, b}$ -tilings and Hamilton $ℓ$ -cycles in $k$ -uniform hypergraphs

Least $Q$ -eigenvalues of nonbipartite 2-connected graphs