Xueyi Huang

activity

20162020

most citedSignless Laplacian eigenvalue problems of Nordhaus-Gaddum type

1 citations · 2 across the 4 of their papers we have counts for

collaborators

8 papers

math.CO2020★ 1 cited

The signless Laplacian spectral radius of graphs with no intersecting triangles

Yanhua Zhao, Xueyi Huang, Hangtian Guo

Let $F_{k}$ denote the $k$ -fan consisting of $k$ triangles which intersect in exactly one common vertex, and $S_{n, k}$ the complete split graph of order $n$ consisting of a clique on…

math.CO2020

The maximum spectral radius of wheel-free graphs

Yanhua Zhao, Xueyi Huang, Huiqiu Lin

A wheel graph is a graph formed by connecting a single vertex to all vertices of a cycle. A graph is called wheel-free if it does not contain any wheel graph as a subgraph. In 2010…

math.CO2020

The $A_{α}$ -spectral radius and perfect matchings of graphs

Yanhua Zhao, Xueyi Huang, Zhiwen Wang

Let $α \in [0, 1)$ , and let $G$ be a graph of even order $n$ with $n \geq f (α)$ , where $f (α) = 10$ for $0 \leq α \leq 1/2$ , $f (α) = 14$ for $1/2 < α \leq 2/3$ and $f (α) = 5/ (1 - α)$ for $2/3 < α < 1$ . I…

math.CO2019★ 1 cited

Signless Laplacian eigenvalue problems of Nordhaus-Gaddum type

Xueyi Huang, Huiqiu Lin

Let $G$ be a graph of order $n$ , and let $q_{1} (G) \geq q_{2} (G) \geq \dots \geq q_{n} (G)$ denote the signless Laplacian eigenvalues of $G$ . Ashraf and Tayfeh-Rezaie [Electron. J. Combin. 2…

math.CO2018

The spectrum and automorphism group of the set-inclusion graph

Xueyi Huang, Qiongxiang Huang, Jianfeng Wang

Let $n$ , $k$ and $l$ be integers with $1 \leq k < l \leq n - 1$ . The set-inclusion graph $G (n, k, l)$ is the graph whose vertex set consists of all $k$ - and $l$ -subsets of $[n]=\{1,2,\ldot…

math.CO2018

The second eigenvalue of some normal Cayley graphs of high transitive groups

Xueyi Huang, Qiongxiang Huang, Sebastian M. Cioabă

Let $Γ$ be a finite group acting transitively on $[n] = {1, 2, \dots, n}$ , and let $G = Cay (Γ, T)$ be a Cayley graph of $Γ$ . The graph $G$ is called normal if $T$ is closed und…